Mathematics: Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

Find the equation of the line through (5,7) parallel

Ответ:

Bombin1118

07.01.2022

Mathematics

$y -7 = -\frac{7}{5}(x-5)$

$y = -\frac{7}{5}x +14$

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 7x + 5y = 12 through conversion into slope intercept form.

7x + 5y = 12 becomes y = -7/5x + 12/5. The slope is -7/5.

Substitute\ m =-7/5 and the point (5,7) into the slope intercept form.

$y-y_1=m(x-x_1)\\y -7= -\frac{7}{5}(x - 5)$

Convert the equation to slope intercept form by applying the distributive property.

$y -7 = -\frac{7}{5}(x-5)\\y -7 = -\frac{7}{5}x +7\\y = -\frac{7}{5}x +7+7\\y = -\frac{7}{5}x +14$

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Ответ:

adrianayepez8

06.05.2023

Mathematics

Step-by-step explanation:

3.6 x 12 for inches

3.6 / 3 for yards.

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Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12

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