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babymother [125]
3 years ago
12

Please help with this algebra question

Mathematics
1 answer:
mojhsa [17]3 years ago
4 0
First, we have that the generic equation of the line is given by:
 y-yo = m (x-xo)
 Substituting values we have:
 y - (- 14) = - 2 (x-0)
 Rewriting:
 y + 14 = -2x
 y = -2x - 14
 Answer:
 
The equation of the line written in its slope-intercept form is given by:
 
y = -2x - 14
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muminat

Answer:

f(x) = -4x - 2

Step-by-step explanation:

To derive the function rule in slope-intercept form, f(x) = mx + b, we need to find the slope, m, and the y-intercept, b, of the graph given.

Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{0 -(-1)} = \frac{-4}{1} = -4

m = -4

The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.

Substitute m = -4, and b = -2 into f(x) = mx + b.

The function rule in slope-intercept form would be:

f(x) = -4x +(-2)

f(x) = -4x - 2

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(4+6)/(2•1) simplified
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