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35 POINTS FOR CORRECT ANSWER! write the equation of the line in slope-intercept form. (image attached).

35 POINTS FOR CORRECT ANSWER! write the equation of the line in slope-intercept form-example-1
User Tom Gilder
by
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1 Answer

5 votes
Let's find 2 decipherable points on the graph.
1. (0, 4)
2. (4, 0)

Now, solve for slope.
Slope formula:
(y2-y1)/(x2-x1)
Plug in and solve:
(0-4)/(4-0) = (-4)/(4) = -1
Slope:
-1

Finally, plug into point-slope formula and solve for slope-intercept.
Point-slope formula:
y - y1 = m(x - x1) where m = slope
Plug in and solve for slope-intercept.

y - 4 = -1(x - 0) y - 4 = -1x + 0 Add 4 both sides y = -1x + 4
Answer:
y = -x + 4
User Selmaril
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