Question

Find the slope-intercept equation


Please help me

Answer 1

`y = -(1)/(3)x + 5`

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
`(y2-y1)/(x2-x1)`. Plug in the y and x values;
`(6-5)/(-3-0)`. Simpliify the fraction;
`(1)/(-3)` -->
`-(1)/(3)`. 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!