Question

4. When finding the intersection of two lines from both Algebra I and Geometry, you first "set the linear

equations equal" to each other. Find the intersection point of the two lines whose equations are shown
below. Be sure to find both the x and y coordinates.
y = 5x +1 and y = 2x -11

Answer 1

The intersection point is (-4,-19)

Step-by-step explanation:

The two given equations are:

y = 5x + 1

y = 2x - 11

To find the intersection point, we will start by equating the two given equations and solving for x

This is done as follows:

5x + 1 = 2x - 11

5x - 2x = -11 - 1

3x = - 12

x = -4

Then, we will use the x and substitute in any of the equations to get the value of y

Using the first equation:

y = 5x + 1 = 5(-4) + 1 = -19

Check using the second equation:

y = 2x - 11 = 2(-4) - 11 = -19 ................? checked

Therefore:

The intersection point between the two given equations is (-4,-19)

Hope this helps :)