identify an equation in point slope form for line parallel to y=1/2x-7 that passes through (-3, -2).

Question

answer;

A. y+2=2(x+3)

B. y-2=1/2(x-3)

C. y+2=1/2(x+3)

D. y+3=-1/2(x+2)

Answer 1

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3). The answer is C.

Answer 2

Y-Y1=M(X-X1)

POINT = (-3 , -2)

=(X1, Y1)

Equation : y=mx+b. .......> y=1/2x-7

m=slope m=1/2

Y-(-3) = 1/2 ( X- (-2)) .........> Y+ 3 = 1/2 + 7.

ANSWER C IS CORRECT.

:-)