Question

Which equation represents a slope of −4 and y-intercept of (0,2)?

y = −4x + 2
y = −2x
y = −2x − 4
y = 4x + 2

Answer 1

y=-4x+2

Explanation:

Hi there!

We want to find out which equation represents a line with a slope of -4 and a y intercept of (0,2)

The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We have everything we need to plug into the equation, let's just label the values to avoid confusion

m=-4

b=2 (when you substitute the y intercept as b, b is the value of y in the point)

Now substitute into the equation

y=-4x+2

Hope this helps!