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: $\frac{y2-y1}{x2-x1}$
Plug in and solve: $\frac{0-4}{4-0} = \frac{-4}{4} = -1$
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:  $y = -x + 4$