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Juli2301 [7.4K]
3 years ago
10

Write the equation of a line in slope-intercept form that goes through the points (-4, 3) and (-5, 1). Show your work.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
7 0
M=1-3/-5-4
M=-2/-9
M=2/9

y=2/9x+c
let y=3 and x=-4
3=2/9<span>(-4)+c
3=-8/9+c
3+8/9=c
C=35/9

y=2/9x+35/9
</span>
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What is the equation of the following line written in slope-intercept form?
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SOLUTION:

To begin with, let's establish that the formula of this line is in slope-intercept form as follows:

y = mx

The formula for this line isn't:

y = mx + b

This is as this line doesn't have a y-intercept ( b ) as it passes through the origin instead. This means that ( b ) would be rendered useless in this formula as it would just bring us back to the y = mx formula as displayed below:

y = mx + b
y = mx + 0
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Moving on, for ( m ), we need to find the gradient of the line as displayed below:

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m = rise / run
m = 10 / 2
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Now, we must simply substitue ( m ) into the formula in order to obtain the equation for this line as displayed below:

y = mx
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A. y = 5x
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3 years ago
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Answer:

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