Write the equation of the line through the indicated point w

Write the equation of the line through the indicated point with the indicated slope. Write the final answer in the form y = mx + b. m = -3; (5, -1) The equation of the line is. (Type your answer in slope - intercept form.)

Solution

We have given point = (5,-1) and slope = -3.

Equation of line using point slope formula is y - y1 = m(x - x1)

Where (x1,y1) be the point.

So x1 = 5 and y1 = -1

So use this values in the equation y - y1 = m(x - x1)

So it becomes y - (-1) = -3(x - 5)

Simplify this now.

y + 1 = -3x + 15

y = -3x +15 -1 ====> y = -3x +14

This is the required answer.