Question

fan and medal Which line is parallel to the line that passes through the points (1, 7) and (-3, 4)?

y= -3/4x -5

y= 3/4x+1

y=4/3x-8

y=11/4+3

Answer 1

@sammixboo

Answer 2

@Ashleyisakitty

Answer 3

@texaschic101

Answer 4

first we need to find the slope because a parallel line will have the same slope.
We will use the slope formula : slope = (y2 - y1) / (x2 - x1)
(1,7)......x1 = 1 and y1 = 7
(-3,4)...x2 = -3 and y2 = 4
now we sub into the slope formula...
slope(m) = (4 - 7) / (-3-1)
slope(m) = -3/-4
slope(m) = 3/4

now we will use y = mx + b
slope(m) = 3/4
you can use either of your points...(-3,4)...x = -3 and y = 4
and since we already know our slope and we have our points (x,y)...we just need to find b, the y intercept.
now we sub..
y = mx + b
4 = 3/4(-3) + b
4 = -9/4 + b
4 + 9/4 = b
16/4 + 9/4 = b
25/4 = b

so our parallel equation is : y = 3/4x + 25/4

hmm....not an answer choice. I can tell you that parallel lines will have the same slope and the only answer choice tat has the same slope is : y = 3/4x + 1...so I would go with that one.

Answer 5

okay thankyou ill hopeforthe best

Answer 6

sure thing :) good luck