Question

Which of the following is a point-slope equation for a line with the point(-2, 4) and a slope of 3?O A. y+2=3(x-4)O B. y-4=3(x+2)O C. y-2=3(x-4)O D. y - 4= 3(x-2)

Answer 1

Given that

The point is (-2, 4) and the slope is 3.

And we have to find the point-slope equation for this data.

Explanation -

First, we will write the formula to find the point-slope equation and then we will substitute the values to find the required equation.

The general point-slope equation is given as

`\begin{gathered} y-y_1=m(x-x_1) \\ where\text{ m is the slope and the point is \lparen x}_1,y_1) \end{gathered}`

We have slope, m = 3 and point (x1, y1) = (-2, 4)

Hence the required equation is

`\begin{gathered} y-4=3(x-(-2)) \\ y-4=3(x+2) \end{gathered}`

So the correct option is B.

Final answer -

Hence the final answer is y-4 = 3(x + 2)