Question 6 of 10
Which of the following graphs represents the equation y- 4 = 3(x - 1)?

Graph D

Step-by-step explanation:

The following equation: y - 4 = 3 (x - 1) is written in Point-Slope Form.

In Slope-Intercept Form, it would look like this: y = mx + b where m = slope and b = y-intercept.
Point-Slope Form: y - y1 = m (x - x1)

Slope-Intercept Form: y = mx + b

To graph the equation we’ll need it to be in Slope-Intercept Form.

y-intercept = 1 because when x reaches 0, y = 1

The first two points are: (0, 1) (1, 4) as we can see that from (1, 4) to (0, 1) or (0, 1) to (1, 4), the slope is 3

Therefore, the Slope-intercept form: y = 3x + 1

The graph that best represents the following equation is Graph D because it contains the point (1, 4)