Question

Someone please help me on this

Answer 1

Answer:

y = 25x - 50

Step-by-step explanation:

Given points (-4, -150) and (0, -50):

We can use these points to solve for the slope of the line using the following slope formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-4, -150)

(x2, y2) = (0, -50) ← this is your y-intercept.

Substitute these values into the equation:

m = (y2 - y1)/(x2 - x1)

m = [-50 - (-150)] / [0 - (-4)]

m = (-50 + 150) / (0 + 4)

m = 100/4

m = 25

Therefore, the slope of the line is 25.

Next, we need to identify the y-intercept. As noted earlier, the coordinates (0, -50) is the y-intercept. The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

So for (0, -50), we'll use its y-coordinate for the value of the y-intercept, b = -50.

Now that we have our slope, m = 25, and y-intercept, b = -50:

The equation of the line in slope-intercept form is:

y = 25x - 50

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