Question

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

Answer 1

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`