So we first want to find the slope. It's calculated by taking the difference in y values and dividing it by the difference in x values.
-9-(-7)/-6-1
=-9+7/-7
=-2/-7
=2/7.
This is the m in the point-slope equation.
Next, we just plug in the points. We only need 1 point so I will use the (1,-7)
y-y1=m(x-x1)
y-(-7)=2/7(x-1)
y-(-7)=2/7x-2/7
y+7=2/7x-2/7
I've never really seen fully reduced point-slope form, but I'm assuming the above is it because if I keep simplifying it's going to turn into slope-intercept form.
3y=6+x y=(6+x)/3 y=2+x/3 y=mx+b y=x/3+b so m(slope) is 1/3 use the point (3, 5), sub this for x and y 5=3/3+b 5-1=b b=4 therefore, y=x/3+4 or y=(1/3)x+4 (you can write it like this as well)
