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In the figure, a line through points C and D will represent the linear relationship between those two points in a coordinate system. This line can be described using the slope-intercept form if the coordinates of points C and D are known. Additionally, the line can be used to predict values or analyze trends related to the data represented by those points.
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A (4 4) B (-4 -4) C (4 -4) A line going through which two points would have an undefined slope?
A line will have an undefined slope if it is vertical, which occurs when both points have the same x-coordinate. In this case, points A (4, 4) and C (4, -4) share the same x-coordinate of 4. Therefore, a line going through points A and C would have an undefined slope.
Points A B and C are noncollinear. How many lines are determined by A B and C?
Three noncollinear points A, B, and C determine exactly three lines. Each pair of points can be connected to form a line: line AB between points A and B, line AC between points A and C, and line BC between points B and C. Thus, the total number of lines determined by points A, B, and C is three.
How can you describe the graph of the equation ax by c?
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
Points a b and c are noncollinear . how many lines are determined by a b and c?
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
Points A B and C lie along the same line What can these points be called?
Collinear.
A (4 4) B (-4 -4) C (4 -4) A line going through which two points would have an undefined slope?
A line will have an undefined slope if it is vertical, which occurs when both points have the same x-coordinate. In this case, points A (4, 4) and C (4, -4) share the same x-coordinate of 4. Therefore, a line going through points A and C would have an undefined slope.
Points A B and C are noncollinear. How many lines are determined by A B and C?
Three noncollinear points A, B, and C determine exactly three lines. Each pair of points can be connected to form a line: line AB between points A and B, line AC between points A and C, and line BC between points B and C. Thus, the total number of lines determined by points A, B, and C is three.
How can you describe the graph of the equation ax by c?
The graph of ax + by = c is a straight line going through the points (0, c/b) and (c/a, 0).
The line y mx c passes through the points -2 -2 and 41?
This has infinite no. of solutions.
What do we call points A B and C are on the same line?
They are collinear points that lie on the same line
In the figure points A B C and D reflect across to coincide with points G J I and H respectively?
In the given scenario, points A, B, C, and D are reflected across a line or point to coincide with points G, J, I, and H, respectively. This reflection implies that each original point and its corresponding reflected point are equidistant from the line of reflection. Therefore, the positions of points A, B, C, and D are symmetrically opposite to points G, J, I, and H concerning the line of reflection. This geometric relationship highlights the properties of reflection in a coordinate plane.
Points a b and c are noncollinear . how many lines are determined by a b and c?
Three noncollinear points ( A ), ( B ), and ( C ) determine exactly three lines: line ( AB ), line ( BC ), and line ( AC ). Each pair of points defines a unique line, and since the points are noncollinear, no two lines coincide. Thus, the total number of lines determined by points ( A ), ( B ), and ( C ) is three.
Points A B and C lie along the same line What can these points be called?
Collinear.
How many circles can pass through two given points?
Two points determine a unique line. Therefore, there are infinitely many circles that can pass through two given points. This is because a circle can be defined by its center, which can lie anywhere along the perpendicular bisector of the line segment connecting the two points.
What is the slope of line BC?
This depends on what the points are for B, and C.
A line passes through the points 2 -2 and 1 5 find the equation of the line?
gradient = (-2-5) / (2-1) = -7 hence y = -7x + C Since a point on the line is (1,5) 5 = -7 + C from which we have C = 12 The equation is y = 12 - 7x
Which is the equation in standard form of the line that contains points C and D?
To find the equation in standard form of the line that contains points C and D, you first need the coordinates of those points. The standard form of a line is expressed as Ax + By = C, where A, B, and C are integers, and A should be non-negative. Using the coordinates of points C and D, you can calculate the slope and use the point-slope form to convert it to standard form. If you provide the coordinates of points C and D, I can help you derive the equation.
