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3 years ago

21m-49n factored using gcf

Mathematics

1 answer:

Over [174]3 years ago

8 0

21 and 49 GCF is 7
So then you divide 7 out of both and get 7(3m-7n)

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anyanavicka [17]

The slope of line is $\frac{-7}{8}$

The point slope form is found when point (7, -4) is used is $y + 4 = \frac{-7}{8}(x - 7)$

The slope intercept form is $y = \frac{-7}{8}x + \frac{17}{8}$

<em><u>Solution:</u></em>

We have to find the equation of the line that passes through the points 7, -4 and -1, 3

<h3><u>Point slope form:</u></h3>

The point slope form is given as:

$y - y_1 = m(x - x_1)$

Where "m" is the slope of line

Given two points are (7, -4) and (-1, 3)

<h3><u>Let us find the slope of line</u></h3>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting $(x_1 , y_1 ) = (7, -4) \text{ and } (x_2, y_2) = (-1, 3)$

$m=\frac{3-(-4)}{-1-7}=\frac{7}{-8}$

$m=\frac{-7}{8}$

Thus slope of line is found

Substitute value of m and point (7, -4) in eqn 1

$y - (-4) = \frac{-7}{8}(x - 7)\\\\y + 4 = \frac{-7}{8}(x - 7)$

Thus the point slope form is found when point (7, -4) is used

<h3><u>Slope intercept form:</u></h3>

The slope intercept form is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute m = -7/8 and (x, y) = (7, -4) in eqn 1

$-4 = \frac{-7}{8}(7) + c\\\\-32 = -49 + 8c\\\\8c = 17\\\\c = \frac{17}{8}$

Substitute m = -7/8 and $c = \frac{17}{8}$ in eqn 1

$y = \frac{-7}{8}x + \frac{17}{8}$

Thus the required equation of line is found

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