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

1 Answer
Aug 13, 2018

Answer:

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.