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Galina-37 [17]
3 years ago
15

Write the equation in slope-intercept form of the line that includes the point (3,2) and has a slope of 4/3.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

y = \frac{4}{3}x - 2

Step-by-step explanation:

Given:

Slope (m) = ⁴/3

Point on the line = (x, y) = (3, 2)

Required:

Write the equation in slope-intercept form which is y = mx + b

Solution:

Since we know the slope(m), we need to find the y-intercept (b).

This, substitute (x, y) = (3, 2) and m = ⁴/3 into y = mx + b, and solve for b. Thus:

2 = ⁴/3(3) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

To write the equation, substitute m = ⁴/3 and b = -2 into y = mx + b

y = \frac{4}{3}x - 2

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Answer:

C is 40 and D is 75

Step-by-step explanation:

look at the angle

5 0
3 years ago
Homer's annual salary is $74,308. If he works all 52 weeks a year, how much is he paid each week?
ryzh [129]

Answer:

Step-by-step explanation:

You need to divide 74308 divided by 52 which equals 1429.

8 0
4 years ago
Given the equation y − 3 = 1/2 (x + 6) in point-slope form, identify the equation of the same line in standard form. )
Doss [256]

Answer:

a: x − 2y = −12

Step-by-step explanation:

the standard form of a line is is usually given as Ax + By = C, so just by deduction you can tell that the correct answer is a.

If you want to do the procedure it would be:

y − 3 = 1/2 (x + 6)

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4 0
3 years ago
A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.
Nikitich [7]

Given:

A line contains the points R(-1, 8), S(1, 4) and T(6, y).

To find:

The value of y.

Solution:

Three points are collinear if:

x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0

A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.

-1(4-y)+1(y-8)+6(8-4)=0

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Subtract 12 from both sides.

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Divide both sides by 2.

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3 years ago
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Answer:

7 and 504

Step-by-step explanation:

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5 0
3 years ago
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