Answer:
y = 3/8x +29/8
Step-by-step explanation:
First we need to find the slope
m= (y2-y1)/(x2-x1)
= (1-4)/(-7-1)
= -3 /-8
= 3/8
Then we can use the slope intercept form of the equation of a line
y = mx+b where m is the slope and b is the y intercept
y = 3/8x +b
Substitute a point into the equation to find b
4 = 3/8(1) +b
Subtract 3/8 from each side
32/8 -3/8 = 3/8-3/8+b
29/8 = b
Substitute b back into the equation
y = 3/8x +29/8
