Question

Given the equation y+2=5(x-3), identify the point and slope being used in the problem.

A. Point (2, -3), slope 5
B. Point (-2,5), slope3
C. Point (3,-2), slope 5
D. Point (-3, 2), slope 5

Answer 1

Point (3,-2) and Slope = 5

Option C is correct option.

Explanation:

Given the equation
`y+2=5(x-3)`, identify the point and slope being used in the problem.

The equation is given in point-slope form

The general equation of point-slope form is:
`y-y_1=m(x-x_1)`

Where m is slope and (x₁,y₁) is the point

Comparing the given equation
`y+2=5(x-3)` with general equation we get

m=5,

x₁=3

y₁=-2

So, Point (3,-2) and Slope = 5

Option C is correct option.