Question

Randolph is creating parallelogram WXYZ so that WX has an equation of y = 1 over 4x − 6. Segment YZ must pass through the point (−1, 5). Which of the following is the equation for YZ?
y − 5 = 1 over 4(x − (−1))
y − (−1) = 1 over 4(x − 5)
y − 5 = −4(x − (−1))
y − (−1) = −4(x − 5)

Answer 1

Answer:

y - 5 = 1/4 (x - (-1))

Step-by-step explanation:

Since we have a parallelogram, then WX and YZ must be parallel

mathematically, the general equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

if two lines are parallel, the value of their slopes is same

for the first line, we have;

y = 1/4x - 6

The slope of the first line is 1/4

this is the slope of the second line too

By using;

y-y1 = m(x-x1)

where (x1,y1) is the point on the line

we have;

y - 5 = 1/4 (x - (-1))