Question

Question 21 (1 point) What is the equation of the line that passes through (-4, 7) and (2,-2)? Oy=-x-1 Oy = {x-1 Oy = {x+1 Oy=-3x+1

Answer 1

Slope of the line that passes through the points (-4, 7) and (2, -2) is,

m = (-2 - 7)/(2 + 4) = -9/6 = -3/2

.

So the equation of the line is of the form,

y = -(3/2)x + c

.

Now this line passes through the point (2, -2), so we have,

-2 = -(3/2)*2 + c

i.e. -2 = -3 + c

i.e. c = -2 + 3

i.e. c = 1

.

So the equation of the line becomes, y = -(3/2)x + 1

.

So fourth option is correct.