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balandron [24]
2 years ago
11

-0.75 7/8 and - 5/8 in order from least to greatest

Mathematics
1 answer:
VMariaS [17]2 years ago
5 0
Hello there!

The answer is:
-5/8
-0.75
7/8
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Find the equation of a line that passes through (-5,4) and us parallel to y=-6/7x+3​
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Given:

The given equation of line is

y=-\dfrac{6}{7}x+3

To find:

The equation of line that passes through (-5,4) and is parallel to the given line.

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Slope intercept form of a line is

y=mx+b    ...(i)

where, m is slope and b is y-intercept.

We have,

y=-\dfrac{6}{7}x+3      ...(ii)

On comparing (i) and (ii), we get

m=-\dfrac{6}{7}

Slope of given line is m=-\dfrac{6}{7}.

Slope of parallel lines are same. So, slope of parallel line is m=-\dfrac{6}{7}.

The required line passes through (-5,4) with slope m=-\dfrac{6}{7}. So, the equation of line is

y-y_1=m(x-x_1)

y-4=-\dfrac{6}{7}(x-(-5))

y-4=-\dfrac{6}{7}(x+5)

y-4=-\dfrac{6}{7}x-\dfrac{30}{7}

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y=-\dfrac{6}{7}x-\dfrac{30}{7}+4

y=-\dfrac{6}{7}x+\dfrac{-30+28}{7}

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