Answer:
The equation is y = 2x+5
Step-by-step explanation:
We know two points on the line (-3,-1) and (1,7)
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 7- -1)/( 1 - -3)
m = ( 7+1) / ( 1+3)
= 8/4
= 2
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute one point into the equation and solve for b
7 = 2(1)+b
7 =2+b
5=b
The equation is y = 2x+5
