Question

On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

y – 1=Negative three-halves(x + 3)
y – 1=Negative two-thirds(x + 3)
y – 1= Two-thirds(x + 3)
y – 1= Three-halves(x + 3)

Answer 1

y – 1= Three-halves(x + 3)

Step-by-step explanation:line goes through (-2, -4) and (2, 2)goes through (-3, 1)slope = (-4 - 2) / (-2 -2) = -6/-4 = 3/21 = (3/2)*-3 + b1 = -9/2 + bb = 1 + 9/2 = 11/2 = 5.5y = (3/2)*x + 11/2(y - 1) = (3/2)(x + 3)-by