Question

Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (2.6, −7.5) m = 0

Answer 1

y = -7.5

Explanation:

• When we have a line whose slope is 0, the line's general equation is y = b, there b is the y-intercept.

• Lines whose slope is 0 are horizontal and although the x-coordinate changes, the y-coordinate remains the same as the y-intercept.

Thus, the equation of the line is y = -7.5

• I attached a graph of the line from Desmos Graphing Calculator, showing how the x-coordinates change, but the y-coordinates for horizontal lines never change.