The slope intercept form is: y=mx+b
First you need to find the slope (m). m=y2−y1x2−x1.
m=−2−(−5)6−(−3)
m=13
Next, you find the y-intercept, or b. You can plug in any of the 2 points like this: y=13x+b
−2=13⋅6+b
2+b=−2
b=−4
So our final answer is y=13x−4
(I just wanted to make ElectricPavlov's solution more clear)