Question

1 Point
Which graph shows the line y - 4 = 3(x + 1)?
O A. Graph B
O B. Graph c
O C. Graph A
O D. Graph D

Answer 1

Answer:

The answer is D

Step-by-step explanation:

You can find it by expanding the equation in the form of y = mx + b :

y - 4 = 3(x + 1)

y - 4 = 3x + 3

y = 3x + 3 + 4

y = 3x + 7

Then, looking at the equation "b" is a y-intercept. The line that touch/passes through y-axis is called y-intercept. From the equation, we know that 7 is the y-intercept.

By looking at the diagram, only Graph D is suitable for this equation because the line has touches 7 at y-axis.

Answer 2

Graph D represents the line y - 4 = 3(x + 1), the correct option is D.

What is the standard equation of a line?

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The graph A, B, C, D is shown in the figure.

The equation of the line is y-4 = 3(x +1)

This can also be written as

y -4 = 3x +3

y = 3x +7

This is now in the standard form of the line.

Slope = m = 3

y-intercept = 7

The graph has to be observed for the y-intercept.

Graph A has a y-intercept of more than 7.

Graph B has a y-intercept of more than 7.

Graph C has a y-intercept of more than 7.

Graph D has a y-intercept of  7

To known more about the standard equation of a line

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