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3 years ago

What is the equation of a line that passes through the points (0, 5) and (4, 8)?

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (4, 8)

m = $\frac{8-5}{4-0}$ = $\frac{3}{4}$

Note the line crosses the y- axis at (0, 5) ⇒ c = 5

y = $\frac{3}{4}$ x + 5 ← equation in slope- intercept form

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3 years ago

In Δ A B C, the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is 8 mo

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Step-by-step explanation:

Let the measure of the largest angle be x

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Since the sum of angle in a triangle is 180 degrees, hence;

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Substitute 2 and 3 into 1;

x + x/2 + 8 + (x+32)/3 = 180

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3 years ago

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$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

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What is the equation of a line that passes through the points (0, 5) and (4, 8)?​

What is the equation of a line that passes through the points (0, 5) and (4, 8)?