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mario62 [17]
3 years ago
13

What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5)?

Mathematics
2 answers:
IceJOKER [234]3 years ago
8 0

Answer:

y = 3/4x + 17/4

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (5 - 2)/(1 + 3)

m = 3/4

y = 3/4x + b

Step 2: Find <em>b</em>

5 = 3/4(1) + b

5 = 3/4 + b

b = 17/4

Step 3: Rewrite equation

y = 3/4x + 17/4

Juli2301 [7.4K]3 years ago
5 0

Answer:

y = 3/4x + 17/9

Step-by-step explanation:

Find the slope:

5 - 2/ 1 - (- 3)

3/ 1 + 4

3/4

Find the y-intercept:

2 = 3/4(-3) + b

2 = -9/4 + b

17/4 = b

Put it in an equation:

y = 3/4x + 17/9

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Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
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Answer:

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Step-by-step explanation:

Formula = K=\frac{y}{x}

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We substitute these known values in the equation,

y = kx

1.5 = k5

Dividing both sides of the equation by 5 to find the value for k, we have

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The direct variation function is therefore,

y = 0.3x.

[RevyBreeze]

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