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miskamm [114]
3 years ago
7

A.

Health
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

a. Slope intercept form: y= 4x +11

b. The y intercept is 11

c. The x intercept is -\frac{11}{4}

d. Standard Form: y - 4x = 11

e. See attachment for graph

Explanation:

Given

Slope (m)

m = 4

(x_1,y_1) = (-2,3)

Solving (a): The line equation in slope intercept

This is solved using:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y - 3 = 4(x - (-2))

y - 3 = 4(x +2)

y - 3 = 4x +8

Add 3 to both sides

y - 3 +3= 4x +8 + 3

y= 4x +11

Solving (b): The y intercept

To do this, we simply take x as 0.

Substitute 0 for x in y= 4x +11

y = 4(0) + 11

y = 0 + 11

y = 11

The y intercept is 11

Solving (c): The x intercept

To do this, we simply take y as 0.

Substitute 0 for y in y= 4x +11

0 = 4x + 11

Collect Like Terms

4x=0-11

4x=-11

Solve for x

x = -\frac{11}{4}

The x intercept is -\frac{11}{4}

The y intercept is 11

d. The equation in standard form

Equation in standard form is written in the following format: Ax + By = c

y= 4x +11

Subtract 4x from both sides

y - 4x = 4x - 4x + 11

y - 4x = 11

Hence, the equation in standard form is y - 4x = 11

e. The graph

We have that:

(-2,3) ---- given

In (b), we calculated the y intercept to be 11.

This implies that: (0,11)

So, we can plot the graph through (0,11) and (-2,3)

<em>See attachment for graph</em>

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