Question

Given the Standard Form of linear equation 5x - 2y = 10, find its x-intercept and y-intercept: (show your work)

Answer 1

We have that
5x - 2y = 10

we know that

Part A)
the x-intercept is when y=0
then
5x - 2y = 10------> 5x=10--------> x=10/5------> x=2

the answer Part A) is
the x intercept is the point (2,0)

Part B)
the y-intercept is when x=0
then
5x - 2y = 10------> -2y=10------> y=-10/2-----> y=-5

the answer Part B) is
the y intercept is the point (0,-5)

see the attached figure