Question

A line with a slope of -2 passes thru the point (4,7)

Write an equation for this line in point-slope form

Answer 1

y - 7 = -2(x - 4)

Explanation:

We are asked to write the equation of a line in point slope form

Step 1 : find slope

We are given the slope to be -2

Slope m = -2

Step 2: substitute m into point slope form

y - y_1 = m( x - x_1)

y - y_1 = -2 ( x - x _1)

Step 3: substitute the point into the equation

y - y_1 = -2( x - x _1)

( 4 , 7)

x_1 = 4

y_1 = 7

y - 7 = -2( x - 4)

We don't need to open the bracket because we are asked to write the equation in a point slope form