Which of the following is an equation of the line with an x-intercept of −5 and a y-intercept of 5

Question

A y = x − 5

B y = x + 5

C y = 5x − 5

D y = 5x + 5

Answer 1

The answer is B! Setup a tutoring session with me. It seems you would need tutorial about slopes and understand them.

Answer 2

An x-intercept occurs when y = 0; A y-intercept occurs when x = 0

You're looking for points (-5,0) and (0,5)

Plug 0's into the equations for x and then for y and see what happens. (You could also graph the equations)

A. y = x - 5

If x = 0, y = - 5 (no good, y-intercept should be 5)

B. y = x + 5

If x = 0, y = 5 (0,5) OK

If y = 0, 0 = x + 5, x = -5 (-5,0)

So the answer is B

Only B & D are possible answers. In the form y = mx + b, b is the y-intercept and must be positive 5.

D has the wrong x intercept.

You can check by plotting the line on Desmos Graphing Calculator.

You can also check the other two equations as well to eliminate them.