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Serggg [28]
4 years ago
11

Please help please :(❤️

Mathematics
1 answer:
Ira Lisetskai [31]4 years ago
4 0

Answer:

(Explanation)

Step-by-step explanation:

Part A:

First, graph f(x) = x.

Then graph g(x) = x + 4.

The 4 is being added to x, so it will translate the graph to the left.

Graph A should look like this:

[Attached File]

Part B:

First, graph f(x) = x.

Then graph g(x) = x + 2.

The 2 is being added to x, so it will translate the graph to the left.

Graph B should look like this:

[Attached File]

Part C:

First, graph f(x) = x.

Then graph g(x) = x - 2.

The 2 is being subtracted from x, so it will translate the graph to the right.

Graph C should look like this:

[Attached File]

Part D:

First, graph f(x) = x

Then graph g(x) = x - 4

The 4 is being subtracted from x, so it will translate the graph to the right.

Graph D should look like this:

[Attached File]

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Answer:

The equation of the line fully simplified slope-intercept form:

  • y\:=\:\frac{5}{3}x-5

Step-by-step explanation:

We know the slope-intercept form of the line equation is

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where m is the slope and b is the y-intercept

Given the points on the line

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Finding the slope between the points (0, -5) and (3, 0)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:-5\right),\:\left(x_2,\:y_2\right)=\left(3,\:0\right)

m=\frac{0-\left(-5\right)}{3-0}

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We know the y-intercept can be determined by setting x = 0 and solving for y.

From the graph, it is clear that

at x = 0, y = -5

Thus, the y-intercept = b = -5

now substituting b = -5 and m = 5/3 in the slope-intercept form

y = mx+b

y\:=\:\frac{5}{3}x+\left(-5\right)

y\:=\:\frac{5}{3}x-5

Thus, the equation of the line fully simplified slope-intercept form:

  • y\:=\:\frac{5}{3}x-5
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