Question

Which equation has a slope of 2 and a y-intercept of - 5?

X a. 2x + y = -5
b. 2x - y = 5
c.X + 2y = - 10
d. X - 2y = 10

Answer 1

b. 2x - y = 5

you are able to change the equation to y = 2x -5. this is then in the form of y = mx + b.

m = slope and b = y-intercept

m = 2 and b = -5

Answer 2

d. x - 2y = 10

Explanation:

The answer you chose does have the correct y intercept, but the incorrect slope, it was asking for a slope of 1/2, not a slope of -2.

REMEMBER: The y intercept is when x = 0, the x intercept is when y = 0.

To find the y intercept, substitute 0 for x, and solve for y. The slope is the coefficient of x when the coefficient of y is 1.

Just convert this standard form equation into slope intercept.

Standard Form: Ax + By = C.

Slope Intercept: y = mx + b. (m is the slope, b is the y intercept)

To convert just get y by itself completely on the left side of the equation. (y has to have a coefficient of positive 1)

x - 2y = 10

-x -x

-2y = -x + 10

÷2 ÷2 ÷2

-y = -1/2x + 5

×-1 ×-1 ×-1

y = 1/2x - 5 → y = mx + b

m = 1/2, and b = -5