Question

Write the equation of the line with the given slope and the given point.

y = ?

Answer 1

y=x+8

Explanation:

y=x+b

That is the equation with only the slope, however, we can use the point (-4,4) to find the y-intercept

4=-4+b

Add 4 both sides:

8=b

Thus the equation is y=x+8

Hope this helps!

Answer 2

y = x + 8

Explanation:

Pre-Solving

We are given that a line has a slope (m) of 1 and passes through (-4, 4). We want to write the equation of this line.

As the question is formatted as 'y=?', we will write the the equation in slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Solving

First, substitute 1 as m in y=mx+b.

We get:

y = x + b

Now, substitute -4 as x and 4 as y.

4 = -4 + b

Add 4 to both sides.

8 = b

Our equation is:

y = x + 8