Question

Write the equation of the line that passes through each pair of points in slope-intercept form.
(-1,7),(4,-3)

Answer 1

First you have to find a slope(m):
m=y2-y2/x2-x1
m=(-3-7)/4-(-1)
m=-10/5
m=-2

now you know that y-y1=m(x-x1)
pick up any point you have (-1;7) or (4;-3)
for example, i will take (-1;7)

y-7=-2(x-(-1)
y-7=-2(x+1)
y-7=-2x-2
y=-2x-2+7
y=-2x+7 --> this is your line that passes through your two given points