Question

Which Equation Passes through point (-4, -1) and is parallel to y= 2x + 4

Answer 1

Answer:

$y = 2x + 7$

Step-by-step explanation:

The equation of a line is given by:

y = mx + b

Where

m is the slope

and b is the y-intercept

We know, parallel lines have EQUAL slopes, so the line we are looking for will also have a slope of "2".

[ note: y = 2x + 4, the slope is 2]

So, the new line will have equation:

y = 2x + b

Now, this passes through (-4,-1), so we can plug in x = -4 and y = -1 and find b:

y = 2x + b

-1 = 2(-4) + b

-1 = -8 + b

-1 + 8 = b

b = 7

So the equation of the line is:

y = 2x + 7