Question

Y=1/4x + 6
that passes through the point (-4, 3) in slope-intercept form.

Answer 1

The answer is

`y = (1)/(4) x + 4`

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

The equation is

y = 1/4x + 6

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

That's

Slope of parallel line = 1/4

So the equation of the parallel line using point (-4 , 3) and slope 1/4 is

`y - 3 = (1)/(4) (x + 4) \\ y - 3 = (1)/(4) x + 1 \\ y = (1)/(4) x + 1 + 3`

We have the final answer as

`y = (1)/(4) x + 4`

Hope this helps you