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 <u>y-coordinate</u> of the point (0, <em>b</em>) 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 <u>slope</u>, <em>m</em> = 25, and <u>y-intercept</u>, <em>b</em> = -50:
The equation of the line in slope-intercept form is:
y = 25x - 50
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