0
What is the point of intersection of the lines y equals 3x plus 4 and y equals 2 -7x when plotted on the Cartesian plane?
Wiki User
∙ 10y ago
I suggest you solve the equations simultaneously. There are several ways to do it; here is one: since y = 3x + 4 and y is also equal to 2 - 7x, that means that the right sides of the two equations are equal. This gives you the equation:
3x + 4 = 2 - 7x
Solve that for x. Then, replace the value you find in any of the two original equations to find the corresponding value for y.
Another method is to actually plot the lines. However, if the intersection does not happen to be a pair of whole numbers, you can only estimate the value. Plotting is fairly easy since the equations are already in slope-intercept form (i.e., solved for variable "y").
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
How do you label perpendicular lines?
perpendicular lines form a right angle at their intersection so draw the right angle symbol at the intersection
The basic parts of a Cartesian coordinate system are two number?
lines
What are Lines that form 90 degree angles at intersection called?
Perpendicular lines.
Why can three coplanar lines have zero one two or three points of intersection?
If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
Different kinds of lines and their definition?
Parallel lines: they never intersect Transversal lines: they cut through parallel line Line segment: it has 2 endpoints Number line: has negative, zero and postive numbers on it in ascending order Line of best fit: best correlation between 2 variables Dotted line: separates graphical quantities Straight line equation: plotted on the Cartesian plane
What is the point of intersection of the lines 6y equals -x -25 and 6x plus 20.5 -y equals 0?
It works out that the point of intersection is at (-4, -3.5) on the Cartesian plane.
The Cartesian coordinate system is formed by the intersection of number lines?
perpendicular, 2
The Cartesian coordinate system is formed by the what intersection of what number lines?
x & y
What does coordinate plane mean in math?
It is also known as the Cartesian plane where shapes and lines are plotted on it.
What is the study of curves angles points and lines called?
It is called coordinated geometry which is plotted on the Cartesian plane.
Who discovered linear eqations?
It was the French mathematician Rene Descartes who created linear equations which are plotted on the Cartesian plane as straight lines.
What is the intersection point of the lines 2x plus y equals 2 and -3x-2y equals -6?
The intersection is (-2, 6)
What represents the correct relationship between the slopes of parallel lines?
The slopes of parallel lines remain equal distance apart and when plotted on the Cartesian plane they have the same slope but with different y intercepts.
Where is the point of intersection of the lines y equals 4x-1 and 3y-8x plus 2 equals 0?
By a process of elimination and substitution the lines intersect at: (1/4, 0)
F equals yy is a point of intersection of two parallel lines?
Probably not. But there is not enough information in the question to be certain.
Different types of lines and their meanings in math?
There are many types of lines used in math and some of them are:- Parallel lines never intersect Perpendicular lines meet at right angles Lines of intersection have opposite equal angles Solidus line separates the numerator from the denominator in fractions Line of best fit used in data correlation Number line has numbers from minus to positive in ascending order Line segments have defined end points Straight line equations are plotted on the Cartesian plane Transversal line cuts through parallel lines with special angular properties
What are a score or more facts relevant to the Cartesian plane?
1 It was conceived by the French mathematician Rene Descartes 2 It is called the Cartesian plane in respect of Descartes 3 It has a horizontal number line called the x axis 4 It has a vertical number line known as the y axis 5 Both axes are perpendicular to each other 6 The axes intercept each other at the point of the origin which is (0, 0) 7 It has 4 quadrants set out in grids 8 It is sometimes referred to as coordinated geometry 9 Straight line can be plotted on it 10 Lines of intersection can be plotted on it 11 Parabolas or curves can be plotted on it 12 Inequalities can be plotted on it 13 Simultaneous equations can be solved from it 14 Quadratic equations can be solved from it 15 The coordinates of a tangent to a curve can be located on it 16 It can be used in comparing statistics 17 Weight and measure conversions can be plotted on it 18 Scatter graphs are plotted on it for line of best fit 19 Proof of Pythagoras' theorem can be constructed on it 20 3D objects can be outlined on it in the form of nets 21 Transformations of shapes are plotted and constructed on it
