What is the slope, m, and y-intercept for the line that is plotted on the grid below?

slope = 2 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2,0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m = = = 2

The y- intercept is the value of the y- coordinate where the line crosses the y- axis, that is

y- intercept = 4 or (0, 4) in coordinate form, thus

y = 2x + 4 ← equation in slope- intercept form

Step-by-step explanation:

The slope is defined as

Where we need two points on the line to use the slope formula.

The points we selected are and . Replacing this points, we have

Now, we use one point, the slope and the point-slope formula to find the equation

Where  and which is the y-intercept.

Therefore, the slope of the line is 2 and the y-intercept is at (0,4).

-4

step-by-step explanation: