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3 years ago

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

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

<h3><u>Explanation</u></h3>

Find the slope by using rise over run with two given coordinate points.

$\begin{cases} (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,8) \end{cases} \\ m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute the coordinate values in.

$m = \frac{8 - 4}{2 - ( - 3)} \\ m = \frac{4}{2 + 3} \Longrightarrow \frac{4}{5}$

We have got the value of slope. Substitute in the slope-intercept form.

Slope-Intercept

$y = mx + b \\ \sf{m = slope}\\ \sf{b = y - intercept}$

Substitute and Rewrite the equation.

$y = \frac{4}{5} x + b$

Find the y-intercept or the value of b by substituting any given coordinate points.

I will substitute (2,8) in.

$y = \frac{4}{5} x + b \Longrightarrow \sf \small{Substitute \: \: the \: \: coordinate \: \: points \: \: in \: \: the \: \: equation}$

$8 = \frac{4}{5} (2) + b \\ 8 = \frac{8}{5} + b \\ 40 = 8 + 5b \\ 40 - 8 = 5b \\ 32 = 5b \\ \frac{32}{5} = b$

Rewrite the equation by substituting the value of b.

$y = \frac{4}{5} x + \frac{32}{5}$

<h3><u>Answer</u></h3>

<u> $\large \boxed{y = \frac{4}{5} x + \frac{32}{5} }$ </u>

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Then, you can find an equivalent expression to the expression provided in the exercise by simplifying it.

So, given:

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3 years ago

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Answer:

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Step-by-step explanation:

Given polynomial as :

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3 years ago

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

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