Question

Find an equation in slope-intercept form for the line with slope 5 and y-intercept = -2

a.
y = -5x +2

c.
5y = x -2

b.
y = 5x -2

d.
5x - y = 2

Answer 1

y = -5x + 2

Step-by-step explanation:

I am going to write the equation in slope-intercept form.

The format of slope intercept is:

y = mx + b

Where:

• m = slope
• b = y-intercept

I plug the slope and the y intercept into the equation:

`\sf{y=-5x+2}`

Therefore, the equation is y = -5x + 2.

`\rule{350}{3}`

`\frak{-star-}`

Answer 2

General form of slope-intercept equation
y = mx + b

The equation can be calculated using formula
y - y₁ = m(x - x₁)

From the question, we know that
m = 5
the y-intercept have 0 as the x-coordinate, so
(x₁,y₁) = (0,-2)

Make the equation
y - y₁ = m(x - x₁)
y - (-2) = 5(x - 0)
y + 2 = 5x
y = 5x - 2

The answer is c