How do you graph using the intercepts for -10x+7y=-2510x+7y=25?

1 Answer
Aug 13, 2018

To graph the line, simply connect the intercepts (5/2, 0)(52,0) and (0, -25/7)(0,257).

Explanation:

The x-intercept is the point at which the y-coordinate is 00.

The y-intercept is the point at which the x-coordinate is 00.

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

-10x + 7(color(red)0) = -2510x+7(0)=25

-10x = -2510x=25

x = 5/2x=52

Therefore the x-intercept is (5/2, color(red)0)(52,0).

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

-10(color(red)0) + 7y = -2510(0)+7y=25

7y = -257y=25

y = -25/7y=257

Therefore the y-intercept is (color(red)0, -25/7)(0,257).

To graph the line, simply connect the two points.