Question

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

Answer 1

Answer:

The answer is

$y = \frac{1}{4} x + 4$

Step-by-step 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

$y - 3 = \frac{1}{4} (x + 4) \\ y - 3 = \frac{1}{4} x + 1 \\ y = \frac{1}{4} x + 1 + 3$

We have the final answer as

$y = \frac{1}{4} x + 4$

Hope this helps you