Question

Which is an equation of a line in point-slope form that has slope 7 and passes through (–2, 6)? a y – 6 = 7(x + 2) b y + 2 = 7(x – 6) c y – 6 = –2(x – 7) d y – 6 = 7(x – 2)

Answer 1

A. y-6=7(x+2)

Explanation:

When we use the coordinate point given and plug into our equation choices, A is the only choice that returns a correct result.

y-6=7(x+2)

First we use the x coordinate

y-6=7[(-2)+2]

y=6

Next we use the y coordinate

y-6=7(x+2)

6-6=7(x+2)

-14=7x

x=-2

Answer 2

Choice 1 is correct answer.

Explanation:

From question statement, we observe that

Slope and a point is given.We have to find point-slope form of this line.

Slope = 7 and (x₁,y₁) = (-2,6)

y-y₁ = m(x-x₁) is point-slope form of equation of line where m denotes slope of given line.

Putting given values in above equation, we have

y-(6) = 7(x-(-2))

y-6 = 7(x+2) is point-slope form of linee whose slope is 7 and that passes through (-2,6).