Question

Write an equation in slope-intercept form for the line that satisfies the following condition.

passes through (8, 10), parallel to the graph of y = x + 7.

Answer 1

Explanation:

Answer 2

Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]

For lines to be parallel, they have to have the same slope

y = x + 7

m = 1 So the parallel line's slope is also 1

y = mx + b

y = x + b To find b, plug in the point (8, 10) into the equation

10 = 8 + b Subtract 8 on both sides

2 = b

y = x + 2