Linear Equation

Question

Write the slope-intercept form of the line that has a slope of 2 and intersects the line, 2x - 3y = 6 at x = 3. Include your work in your final answer.

Answer 1

If you want to intersect

2x - 3y = 6 at x=3, then y=0 at the point of intersection.

 

Slope-intercept form is y=mx+ b. You know your slope is 2 and you have the point (2,0) on the line. so b = -4.

 

y = 2x - 4

 

Cheers!