Answer:
y = x + 8
Explanation:
Pre-Solving
We are given that a line has a slope (m) of 1, and contains the point (-4, 4).
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept (hence the name).
Solving
Since we already are given the slope of the line, we can immediately plug it into the equation.
Substitute m as 1 in y=mx+b.
y = x + b
We now need to find b.
As the equation passes through (-4, 4), we can use its values to help solve for b.
Substitute -4 as x and 4 as y.
4 = -4 + b
Add 4 to both sides.
4 = -4 + b
+4 +4
_________________
8 = b
Substitute 8 as b in the equation.
y = x + 8