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Lera25 [3.4K]
2 years ago
11

Here's a graph of a linear function. Write the equation that describes that function. 8 Express it in slope intercept form. Ente

r the correct answer. ​

Mathematics
1 answer:
Stolb23 [73]2 years ago
5 0

Answer:

f(x) = \frac{1}{2}x+4

Step-by-step explanation:

Let the equation of the function is,

f(x) = mx + b

Here, m = slope of the line

b = y-intercept

From the graph attached,

y-intercept 'b' = 4

Slope = \frac{\text{Rise}}{\text{Run}}

          = \frac{4}{8}

          = \frac{1}{2}

Therefore, equation of the function representing the graph will be,

f(x) = \frac{1}{2}x+4

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Alex73 [517]

Answer:

im gonna have to say C

Step-by-step explanation:

6 0
2 years ago
Which is the equation in slope-intercept form for the line that passes through (-2, 15) and is perpendicular to 2x + 3y = 4?
Ilya [14]

Answer:

B

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 )

Rearrange 2x + 3y = 4 into this form

Subtract 2x from both sides

3y = - 2x + 4 ( divide all terms by 3 )

y = - \frac{2}{3} x + \frac{4}{3} ← in slope- intercept form

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Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}, hence

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To find c substitute (- 2, 15) into the partial equation

15 = - 3 + c ⇒ c = 15 + 3 = 18

y = \frac{3}{2} x + 18 → B

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Step-by-step explanation:

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