Question

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

Answer 1

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