Find the equation of the line that passes through points A and B. y. A (1,7) + Х B (-3,-1)

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

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step-by-step explanation: