Question

Write an equation of a line parallel to y = 1 over 4x − 6 in slope-intercept form that passes through the point (−1, 5).

y= 1 over 4x − 1

y= 1 over 4x + 5.25

y= −4x + 5

y= −4x − 1.25

Answer 1

A line parallel to y = 1/4x -6 will have the same slope as this line.
So, now we just need to find the y intercept of a line with a slope of 1/4 that passes through the point (-1,5)
Do you know how to find the y intercept with this information?

Answer 2

no i forgot how to do it

Answer 3

but i think the formula is y=mx+b i think

Answer 4

Yup, so we have the formula
y = mx + b
m = slope
b = y intercept
We have the point (-1,5) and the slope 1/4
The point is saying that x = -1 and y = 5, right?
So, now let's put these numbers into the formula and solve for b (y intercept)
y = mx + b
(5) = (1/4)(-1) + b
5 = -1/4 + b ---Add 1/4 to both sides
5 and 1/4 = b
So now we know b (the y intercept) and m (the slope) so we can put this in the formula and get the final answer.
y = mx + b
y = 1/4x + 5 and 1/4
1/4 is the same thing as 0.25, so now we have
y = 1/4x +5.25, which was your second option. :)

Hope this helps.

Answer 5

so the answer is B right

Answer 6

Yes.

Answer 7

oh okay
Thank You

Answer 8

No problem.
If it helps, here's this line graphed.
You can see that it passes through (-1, 5) so we're good.

Answer 9

not its okay now