Question

What equation is graphed in this figure?

A) y−5=3(x−1)

B) y−3=13(x+1)

C) y+2=−3(x−1)y+2=−3(x−1)

D) y−4=−13(x+2)

Answer 1

Your answer choice is A. Look at when x = 1. y = 5.
Point slope formula is y - y1 = m(x - x1). x1 and y1 are your coordinates and m is your slope.

Answer 2

Equation y -5 = 3(x-1) is graphed in the figure.

Explanation:

Given : Graph .

To find : What equation in given options is graphed in this figure.

Solution : We have given that a graph .

We can see from the graph , line cut it at y = 3.

So , y intercept is 3.

By the given options A: y -5 = 3(x-1).

Now we convert it in form of y= mx +c.

On solving parenthesis on right side

y-5 = 3x - 3

On Adding both side by 5

y = 3x +2.

Now we can see y intercept is 2.

Therefore, equation y -5 = 3(x-1) is graphed in the figure.