Question

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answer in the box provided to submit your solution.
(-8, 0) and (1, 5)

Answer 1

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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