Question

Write the equation in slope-intercept form of the line that is parallel to the graph of each equation and passes through the given point.

y = x - 4 (-2,3)

Answer 1

y = mx + b     "m" is the slope, "b" is the y-intercept

For lines to be parallel, their slopes have to be the same.

The given line's slope is 1, so the parallel line's slope is also 1

y = 1x + b       or       y = x + b

To find "b", plug in (-2,3) into the equation:

y = x + b

3 = -2 + b     Add 2 on both sides

5 = b

y = x + 5