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

m equals negative 3​, ​(7​,8​)

1 answer

The equation of a line can be represented in slope-intercept form as y = mx + b, where m is the slope of the line and b is the y-intercept.

Given that the slope (m) is -3 and the point (7, 8) lies on the line, we can substitute these values into the equation and solve for b.

8 = -3(7) + b
8 = -21 + b
b = 8 + 21
b = 29

Therefore, the equation of the line is y = -3x + 29.