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Complete the point-slope equation of the line through
(-5,7) and
(-4,0).
Use exact numbers.

y-7=

Complete the point-slope equation of the line through $(-5,7)$ and $(-4,0)$ . Use exact numbers. $\newline$ $y-7=$

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Find the roots of factored polynomials

Full solution

Q. Complete the point-slope equation of the line through

(-5,7)

and

(-4,0)

. Use exact numbers.

\newline

y-7=

Find the slope: First, we need to find the slope of the line that passes through the points $(-5,7)$ and $(-4,0)$ . The slope $m$ is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points. $\newline$ Let's calculate the slope: $\newline$ $m = \frac{0 - 7}{-4 - (-5)}$ $\newline$ $m = \frac{-7}{1}$ $\newline$ $m = -7$
Calculate the slope: Now that we have the slope, we can use the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. $\newline$ We can use either of the two points given, but let's use the point $(-5,7)$ for this equation. $\newline$ So, substituting the slope and the coordinates of the point into the equation, we get: $\newline$ $y - 7 = -7(x - (-5))$ $\newline$ $y - 7 = -7(x + 5)$

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