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Which of the following is an equation of a line with a zero slope?
A line with a zero slope is a horizontal line with an equation y = b, where b is any real number on the y-axis. It means that the line y = b intersects y-axis at b. You also can write the equation of a horizontal line in the slope-intercept form, such as y = 0*x + b.
When two parallel lines are cut by a transversal angles A and B are alternate interior angles that each measure 105 and deg. What is the measure of each of the other alternate interior angles?
Each other of the alternate angles will measure 75 degrees because there are 180 degrees on a straight line.
If points A B and C all lie in a straight line but the other points are not on the line how many different lines can be drawn if each line contains at least two points?
2 lines, I believe.
In the slope-intercept equation of a line which part of the equation gives the y-coordinate of the point where the line crosses the y-axis?
The slope intercept equation also called the y intercept equation. It isy=mx+b in which x and y are coordinates, m is the slope of the line, and b is the y-intercept. so b would be the y-coordinate that intersects the y-axis.
How do you find the slope of a line that is parallel to another line?
Slopes of parallel lines are all the same.If they are parallel, their formulae of the form "y = mx + b" will only differ in the b. The m will be constant.
When there is a transversal of two lines are lines coplanar?
Not necessarily. Imagine yourself inside a cuboid room. Consider the following three lines: (A) The horizontal line joining the far wall and the floor. (B) The horizontal line joining the wall on your left and the ceiling. and (C) The vertical line joining the far wall and the wall on your left. The line C may be considered a transversal to the other two. These are both parallel but they are not coplanar. Their planes are both horizontal but Line A is in a low plane while B is in a high plane.
What are alternative angles?
a / b _______ /____ f / r / _____c/__d__ t/ s Sorry, I tried to form a digram for your help, but an / / alternating interior angle are points (f,d) or (r,c) they are inside the diagram=interior and their alternate.
the line y=2x+5 intersects the curve y+xy=5 at the points a and b. find the coordinates of the point where the perpendicular bisector of line a and b intersects the line y=x?
BC and DE
What does the y-intercept of a line mean?
At what point the line intersects the y-intercept, in an equation y=mx+b, b is the y-intercept.
A line not contained in a parallel to a plane intersects the plane in exactly one point?
You a goofy shoty B.
What is the standard form for an equation of a line?
Ax+By=C This is the standard form of a linear equation. This can be rearranged to By = -Ax + C or further y = (- A/B)x + C/B Where '-A/B' is the slope/gradient and 'C/B' is a constant - the point where the line intersects the y-axis. NB Curved lines have either 'x' or 'y' raised to a power/index.
What does b equal in y equals mx plus b?
sometimes it's called the "y-intercept" because when the graph is drawn, the line intersects the y-axis at b.
Which of the following is an equation of a line with a zero slope?
A line with a zero slope is a horizontal line with an equation y = b, where b is any real number on the y-axis. It means that the line y = b intersects y-axis at b. You also can write the equation of a horizontal line in the slope-intercept form, such as y = 0*x + b.
What is alternate interior angles?
Let be a set of lines in the plane. A line k is transversal of if # , and # for all . Let be transversal to m and n at points A and B, respectively. We say that each of the angles of intersection of and m and of and n has a transversal side in and a non-transversal side not contained in . Definition:An angle of intersection of m and k and one of n and k are alternate interior angles if their transversal sides are opposite directed and intersecting, and if their non-transversal sides lie on opposite sides of . Two of these angles are corresponding angles if their transversal sides have like directions and their non-transversal sides lie on the same side of . Definition: If k and are lines so that , we shall call these lines non-intersecting. We want to reserve the word parallel for later. Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.Figure 10.1: Alternate interior anglesProof: Let m and n be two lines cut by the transversal . Let the points of intersection be B and B', respectively. Choose a point A on m on one side of , and choose on the same side of as A. Likewise, choose on the opposite side of from A. Choose on the same side of as C. Hence, it is on the opposite side of from A', by the Plane Separation Axiom. We are given that . Assume that the lines m and n are not non-intersecting; i.e., they have a nonempty intersection. Let us denote this point of intersection by D. D is on one side of , so by changing the labeling, if necessary, we may assume that D lies on the same side of as C and C'. By Congruence Axiom 1 there is a unique point so that . Since, (by Axiom C-2), we may apply the SAS Axiom to prove thatFrom the definition of congruent triangles, it follows that . Now, the supplement of is congruent to the supplement of , by Proposition 8.5. The supplement of is and . Therefore, is congruent to the supplement of . Since the angles share a side, they are themselves supplementary. Thus, and we have shown that or that is more that one point, contradicting Proposition 6.1. Thus, mand n must be non-intersecting. Corollary 1: If m and n are distinct lines both perpendicular to the line , then m and n are non-intersecting. Proof: is the transversal to m and n. The alternate interior angles are right angles. By Proposition 8.14 all right angles are congruent, so the Alternate Interior Angle Theorem applies. m and n are non-intersecting. Corollary 2: If P is a point not on , then the perpendicular dropped from P to is unique. Proof: Assume that m is a perpendicular to through P, intersecting at Q. If n is another perpendicular to through P intersecting at R, then m and n are two distinct lines perpendicular to . By the above corollary, they are non-intersecting, but each contains P. Thus, the second line cannot be distinct, and the perpendicular is unique. The point at which this perpendicular intersects the line , is called the foot of the perpendicular
Are intersecting lines perpendicular or not perpendicular?
Intersecting lines may or may not be perpendicular. If the angle of intersection between two intersecting lines is 90 degrees, then the two lines are perpendicular. Otherwise, the lines are not perpendicular. For example: A | | | B ----|----- | | Here, the lines A and B are intersecting. The angle between A and B is 90 degrees. Therefore, line A and line B are perpendicular to each other.
What are vertical horizontal and diagonal lines?
a...................b . . . . . c...................d a to c = vertical line a to b = horizontal line a to d = diagonal line
How do you find a y intercept of line with a slope of negative 2?
An equation of a line can be put into the form: y = mx + b, where m is the slope and b is the y-intercept. So if the slope is -2 the equation should be able to be rearranged into y = -2 + b, and the point (0,b) will be where the line intersects the y-axis.
