Question

On the coordinate plane below, draw a line through C point ths is parallel to AB.

Based on your drawing write equation of line that passes through point C and is parallel to AN. Your equation should be in the form y = mx + b. Desribe how you determined the equation.​

Answer 1

y = 2/3x -7

see the attachment for a graph

Explanation:

You want the equation and graph of a line through point C(6, -3) parallel to the line shown through points A(-3, 3) and B(3, 7).

Slope

You can count the grid squares to see that the slope of line AB is 2 units up for each 3 units to the right. The line through C will have the same slope:

m = rise/run = 2/3

Y-intercept

The line drawn with that slope through point C will cross the y-axis at y = -7. This value is the "b" in the slope-intercept equation for the line:

y = mx +b . . . . . . . line with slope m and y-intercept b

y = 2/3x -7

Graph

A graph of the line is shown in the attachment.