Question

Select the equation of the line that passes through the point (2, –1) and has slope 3 in point-slope form.
(y – 1) = 3(x + 2)


(x + 2) = 3(y – 1)


(y + 1) = 3(x – 2)


(x – 2) = 3(y + 1)

Answer 1

Answer:

and no. A

Step-by-step explanation:

A is the answer because (y-y1) = m(x-x1)

Answer 2

Given,

Coordinate of the point = (2 , -1)

m = 3

To Find,

Equation of the line passing through given point =?

Solution,

From the formula of the slope of the line we have,

$(y_1 - y_2) = m(x_2 -x_1)$

Putting value of m = 3 and Coordinates of point as x2 and y2,

$(y_1 - y_2) = m(x_2 -x_1)\\(y - (-1)) = 3(x - (2))\\(y + 1 )= 3(x - 2)$

Hence, (y + 1) = 3(x – 2) is the correct answer.