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3 years ago

Write an equation in slope - intercept form, and then find the slope and y- intercept 3x-y=14

Mathematics

1 answer:

NeX [460]3 years ago

3 0

Answer:

slope-intercept form: y = 3x - 14

slope: 3

y-intercept: -14

Step-by-step explanation:

To find the equation in slope-intercept form, isolate the "y" variable by moving everything to the other side. Slope-intercept form looks like y = mx + b.

"x" and "y" mean points that are on the line.

"m" is the slope.

"b" is the y-intercept.

Rearrange the equation to isolate "y"

3x - y = 14

3x - 3x - y = 14 - 3x Subtract 3x from both sides

-y = 14 - 3x Multiply both sides by -1.

y = -14 + 3x Put "3x" in front of "-14" because it has the 'x'

y = 3x - 14 Looks like y = mx + b

State the "m" and "b".

m = 3 (Slope of the line)

b = -14 (y-intercept of the line)

Therefore the equation of the line in slope-intercept form is y = 3x - 14. The slope is 3 and the y-intercept is -14.

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Hello There!

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3 years ago

Read 2 more answers

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Lelechka [254]

Answer:

Step-by-step explanation:

a. This is a right triangle with two sides and one angle given.

-We apply Sine Rule to find the angle B:

$\frac{a}{Sin \ A}=\frac{b}{Sin \ B}=\frac{b}{Sin \ C}$

-The sides given are 10and 17 and the right angle 90°

$\frac{17}{Sin \ 90 \textdegree}=\frac{10}{Sin \ m\angle B}\\\\m\angle B=Sin^{-1}\frac{10}{(17/Sin \ 90\textdegree)}\\\\=36.03\textdegree$

Hence the angle B is 36.03°

b.We again use the sine rule to obtain the unknown angle w:

-15 corresponds to 90° and 9 corresponds to w°

$\frac{a}{Sin \ a}=\frac{b}{Sin \ B}\\\\\frac{15}{Sin \ 90\textdegree}=\frac{9}{Sin \ w\textdegree}\\\\\\\\w=Sin^{-1}(\frac{9}{15}), \ \ Sin \ 90\textdegree=1\\\\=36.87\textdegree$

Hence, the measure of w is 36.87°

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3 years ago