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2 years ago

Identify an equation in slope-intercept form the line parallel to y=-3x+7that passes through (2,-4)

Mathematics

2 answers:

gregori [183]2 years ago

6 0

Answer:

y=-3x+2

Step-by-step explanation:

Same slope = parallel. You can aso double check this answer by either graphing using the desmos online graphing calculator or by plugging in the point into the equation y = -3(2) + 2 --> y = -6 + 2 --> y = -4, so we are correct.

tresset_1 [31]2 years ago

4 0

Answer:

y=-3x+2

Step-by-step explanation:

In this equation the slope is the same as the original equation (-3), but has a different y-intercept meaning that this line is parallel. As for satisfying the requirement that the line is parallel <em>and</em> passes through (2,-4), I plugged the coordinates into the equation y=-3x+b to get -4=-3(2)+b, and then found what b would have to equal to make the equation true.

(plus I put my answer into a graphing calculator to check my work)

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Help....................................DDDDDDDDDDDDDDDDDDDDDDDDDDD

m_a_m_a [10]

Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

$\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}$

$\frac{194}{WY}=\frac{BC}{1}= \frac{130}{WZ}$ --------(1)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

BC² = 20736

BC = 144

From equation (1)

$\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}$

$\frac{194}{WY}=\frac{144}{1}$

WY = $\frac{194}{144}$

WY = $\frac{97}{72}$ = 1.35

$\frac{144}{1}= \frac{130}{WZ}$

WZ = $\frac{130}{144}$

WZ = $\frac{65}{72}$ = 0.90

b). tan(A) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{144}{130}$

= $\frac{72}{65}$

Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure $\frac{72}{65}$ .

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DochEvi [55]

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