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2 years ago

What is 12X-4y = -8 written in slope-intercept form?

Mathematics

1 answer:

qwelly [4]2 years ago

3 0

Answer:

y = 3x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

12x - 4y = - 8 ( subtract 12x from both sides )

- 4y = - 12x - 8 ( divide all terms by - 4 )

y = 3x + 2 ← in slope- intercept form

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Does anyone understand this?. I also have to show my work.

snow_lady [41]

Answer:

Ans A). The graph is shown.

Ans B). 18.3333 C temperature when F is 65 temperature

Ans C). 32 F when the line crosses the horizontal axis

Ans D). Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

Step-by-step explanation:

Given equation is C= $\frac{5}{9}(F -32)$

Ans A).

For the table,

Take the four value of F as 32,41,50,59.

For F = 32.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=0.

For F = 41.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(41 -32)$

C=05

For F = 50.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(50 -32)$

C=10

For F = 59.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=15

Note: The figure shows a graph of given equation with points.

Ans B). Estimate temperature in C when the temperature in F is 65

For F = 65.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=18.333333.

Ans C). At what temperature, graph lien cross the horizontal axis

When the line crosses the horizontal axis, C=0

Therefore,

C= $\frac{5}{9}(F -32)$

0= $\frac{5}{9}(F -32)$

0= $(F -32)$

F=32 Temperature.

Ans D). Slope of the line C= $\frac{5}{9}(F -32)$

The slope of line is given by s= $\frac{Y1-Y2}{X1-X2}$

Take points from the table of answer A.

let (32,0) and (41,5) using for slope.

s= $\frac{Y1-Y2}{X1-X2}$

s= $\frac{0-5}{32-41}$

s= $\frac{5}{9}$

Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

7 0

3 years ago

Topic Test

ladessa [460]

Answer:

B part Rate the 0ercent that interest is paif anually as a decimal

7 0

3 years ago

Please Explain This Function out for me :) f(s) =10 (s-65)+75

netineya [11]

most of the time it saids that s= a number.

4 0

3 years ago

Read 2 more answers

What is the measure of angle B in the figure below? о 30° О 45° О 60° O90°

Slav-nsk [51]

Answer:

45°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = $\frac{adjacent}{hypotenuse}$ = $\frac{3}{3\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ , hence

B = $cos^{-1}$ ( $\frac{1}{\sqrt{2} }$ ) = 45°

6 0

3 years ago

I need help is it A B C or D

Wittaler [7]

A because you need the y values and if you have 2 of the same number you don't need to write twice only once

3 0

2 years ago