Question

What is the equation in slope-intercept form of the line that passes through the points (0, - 4) and (2,0)?

Ay = 2x + 2
y=x-4
cy=2x-4
y=x+2

Answer 1

The equation in slope-intercept form is y = 2x - 4.

Step-by-step explanation:

The equation in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope (m), we use the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points.

1. Using the coordinates (0, -4) and (2, 0):
2. m = (0 - (-4)) / (2 - 0) = 4 / 2 = 2
3. Now that we have the slope, we can substitute it along with one of the given points into the slope-intercept form equation to solve for the y-intercept (
4. b
5. ):
6. Using the point (2, 0):
7. 0 = 2(2) + b
8. 0 = 4 + b
9. b = -4
10. The equation in slope-intercept form is
11. y = 2x - 4
12. .

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