Find the slope intercept form of the equation of the the line that passes through (-9,-8) and the origin

y=8/9x+0

Step 1: Determine the 2 points that will be used

(-9,-8)
(0,0)

Step 2: Starting with finding slope, write out the equation that you need to use

y2-y1/x2-x1

Step 3: Substitute the points into the equation and solve

0- -8/ 0- -9 = 8/9

*This will be the slope*

Step 4: Write out the equation in slope-intercept form

y= 8/9x+b

Step 4: To find the y-intercept, substitute y and x from a point and solve

y=8/9x+b

-8= 8/9 (-9) +b

-8= -8 +b
+8 +8

0=b

*This will be the y-intercept*

Step 5: Replace b and m in the equation to get your final answer

y=mx+b

y=8/9x+0

Hope this helps comment below for more questions :)

Is it a multiple choice

The answer will be y=-5+0 because the slope is -5 and the it has to go through y-axis 0