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Sergeeva-Olga [200]
3 years ago
9

Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8). 1. Use slope form

ula to find slope: 2. Substitute one point and slope into slope-intercept form to find the y-intercept: What is the equation of the line in slope-intercept form? y = –10x – 2 y = –1x – 8 –8 = –2x – 1 y = –2x – 10
Mathematics
2 answers:
atroni [7]3 years ago
3 0

Answer:

<h2>y = -2x - 10</h2>

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-5, 0) and (-1, -8). Substitute:

m=\dfrac{-8-0}{-1-(-5)}=\dfrac{-8}{4}=-2

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercpet

Put the value of the slope and coordinates of the point (-5, 0) to the equation of a line:

0=-2(-5)+b

0=10+b        <em>subtract 10 from both sides</em>

-10=b\to b=-10

Finally:

y=-2x-10

faltersainse [42]3 years ago
3 0

Answer:

The answer is y = -2x - 10

Step-by-step explanation:

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