Step-by-step explanation:
y=−x+2
Step-by-step explanation:
Alright, so this is a two-part question. First we need to find the slope, then we need to find the y-intercept. Finally we plug all this into the slope intercept equation y=mx+b
The slope is commonly referred to as m=riserun this can also be expressed as m=y2−y1x2−x1 by using the change in y and the change in x.
m=5−8−3−(−6)
m=−33
m=−1
Alright, now lets find the y-intercept by using that slope. If we plug that slope into the base formula we get y=−x+b. Since we already know one point, lets put (−3,5) into that equation and solve for b.
5=−(−3)+b
5−3=3+b−3
2=b
Now is if plug out b into out equation, we get a finally answer of y=−x+2
Even though we're done, lets check it by putting in the other point.
8=−(−6)+2
8−6=6+2−6
2=2