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Temka [501]
3 years ago
14

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)? 

Mathematics
1 answer:
astra-53 [7]3 years ago
6 0
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

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What is the equation of a line that passes through the points (-3, 4) and (2,8)?
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Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

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

Substituting the points (-3,4) and (2,8) in the above formula, we get;

m=\frac{8-4}{2+3}

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-3,4) and m=\frac{4}{5} in the above formula, we have;

y-4=\frac{4}{5}(x+3)

y-4=\frac{4}{5}x+\frac{12}{5}

     y=\frac{4}{5}x+\frac{12}{5}+4

     y=\frac{4}{5}x+\frac{32}{5}

Thus, the equation of the line is y=\frac{4}{5}x+\frac{32}{5}

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