Answer:
[tex]y = -\frac{1}{3}x + 5[/tex]
Step-by-step explanation:
To being, slope intercept form is the infamous y = mx + b form. In which, m is equal to the slope and b is equal to the y-intercept. (1) To solve this, begin by finding two points of the line. One easy point to find is when x = 0 as it intersects with the y-axis. Two points are: (0,5) and (-3,6). (2) Next, use the slope formula to solve for the slope. The slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. Plug in the y and x values; [tex]\frac{6-5}{-3-0}[/tex]. Simpliify the fraction; [tex]\frac{1}{-3}[/tex] --> [tex]-\frac{1}{3}[/tex]. Therefore -1/3 is our slope. (3) To solve for b, the y-intercept, set up the slope-intercept equation with the newfound slope (y = -1/3x + b) and plug in a point for the y and x values. Doing this will isolate the b so you can solve for it.
6 = -1/3(-3) + b
6 = 1 + b
-1 -1
5 = b
Therefore the y-intercept (b) is 5. (4) The final step is to combine the information into the slope-intercept form; y = -1/3x + 5. Good luck!
