Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).
y = –3x + 5
y = 3x – 5
y=1/3x+3
y=-1/3x+5

To find this, you have to find your slope with the given x and y values first. Use the equation Y2-Y1/X2-X1 for finding the slope.
4-1/3- -6
3/9= 1/3

Now you know your slope is 1/3, and you can basically assume your third answer listed is correct since none of the other ones contain a positive 1/3 but I will explain how to continue for future use. Next you can use one set of x and y values to plug into the equation y=mx+b, and plug in 1/3 for m as well.

4=1/3(3) + b
4 = 1 + b
-1  -1
3 = b

Now you have your y intercept and your slope, so you can make your equation.

Y= 1/3x + 3