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complete the point slope equation of the line through $(-5,7)$ and $(-4,0)$

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Write a linear equation from two points

Full solution

Q. complete the point slope equation of the line through

(-5,7)

and

(-4,0)

Calculate slope: Calculate the slope $m$ of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ with the given points $(-5,7)$ and $(-4,0)$ . $\newline$ $m = \frac{0 - 7}{-4 - (-5)}$ $\newline$ $m = \frac{-7}{1}$ $\newline$ $m = -7$
Choose point: Choose one of the points to use in the point-slope form equation. We can use either point, but for this example, let's use the point $(-5,7)$ .
Write point-slope form: Write the point-slope form of the equation using the slope $m = -7$ and the point $(-5,7)$ . The point-slope form is $y - y_1 = m(x - x_1)$ . $\newline$ Substitute $m = -7$ , $x_1 = -5$ , and $y_1 = 7$ into the equation. $\newline$ $y - 7 = -7(x - (-5))$ $\newline$ $y - 7 = -7(x + 5)$

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