Find an equation of the line having the given slope and containing the given point.

m equals 8​, ​(4​,2​)

1 answer

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Substituting the given values into the equation, we have:
y - 2 = 8(x - 4)

Simplifying the equation:
y - 2 = 8x - 32

Re-arranging the equation to slope-intercept form:
y = 8x - 30

Therefore, the equation of the line is y = 8x - 30.