what is the equation of the line that passes through the point (-7, 21) and is parallel to the line y = 1/7 x - 56?

y = 1/7x + 22

Step-by-step explanation:

since the line is parallel, the slope should be the same.

so we need to find the y-intercept to put in into slope-intercept form.

what I do, is simply plug in the y and x points into the equation y=mx+b

y=mx+b -formula used

21 = 1/7(-7) + b -plug in

21 = -1 + b -multiply 1/7 and -7

22 = b -simplify to get the y-intercept

since we now know the y-intercept and the slope, we can plug them in to get our answer, which will be y = 1/7x + 22

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the answer is a. q=6,r=6√2

step-by-step explanation: