How do you graph using the intercepts for -10x+7y=-25?

1 Answer
Aug 13, 2018

To graph the line, simply connect the intercepts (5/2, 0) and (0, -25/7).

Explanation:

The x-intercept is the point at which the y-coordinate is 0.

The y-intercept is the point at which the x-coordinate is 0.

Substitute color(red)(y = 0) to find the x-intercept.

-10x + 7(color(red)0) = -25

-10x = -25

x = 5/2

Therefore the x-intercept is (5/2, color(red)0).

Substitue color(red)(x = 0) to find the y-intercept.

-10(color(red)0) + 7y = -25

7y = -25

y = -25/7

Therefore the y-intercept is (color(red)0, -25/7).

To graph the line, simply connect the two points.