Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

Question

3 years ago

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er in the box provided to submit your solution.
(-8, 0) and (1, 5)

1 answer:

katen-ka-za [31] · Answer 1 · 2022-07-08T04:55:46+03:00

The equation of line through the given points is:

$y=\frac{5}{9}x+\frac{40}{9}$

Step-by-step explanation:

Given points are:

(-8,0) = (x1,y1)

(1,5) = (x2,y2)

The slope-intercept form of line is:

$y=mx+b$

We have to find the slope first

$m=\frac{y_2-y_1}{x_2-x_1}\\m= \frac{5-0}{1-(-8)}\\m=\frac{5}{1+8}\\m=\frac{5}{9}$

Putting the value of slope

$y=\frac{5}{9}x+b$

To find the value of y-intercept, we'll put the point (1,5) in the equation

$5=\frac{5}{9}(1)+b\\5=\frac{5}{9}+b\\b=5-\frac{5}{9}\\b=\frac{45-5}{9}\\b=\frac{40}{9}$

Putting the values of b and m in the equation

$y=\frac{5}{9}x+\frac{40}{9}$

The equation of line through the given points is:

$y=\frac{5}{9}x+\frac{40}{9}$

Keywords: Equation of line, slope-intercept form

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