Complete the point-slope equation of the line through (-1,-10) and (5,2). Use exact numbers. y-2=

Calculate Slope: First, we need to find the slope of the line that passes through the points (-1, -10) and (5, 2). The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). Let's calculate it: m = (2 - (-10)) / (5 - (-1)) m = (2 + 10) / (5 + 1) m = 12 / 6 m = 2Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Let's use the point (5, 2) and the slope m = 2: y - 2 = 2(x - 5)

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Complete the point-slope equation of the line through
(-1,-10) and
(5,2).
Use exact numbers.

y-2=

Complete the point-slope equation of the line through $(-1,-10)$ and $(5,2)$ . $\newline$ Use exact numbers. $\newline$ $y-2=$

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Math Problems

Grade 8

Write a linear equation from two points

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

(-1,-10)

and

(5,2)

\newline

Use exact numbers.

\newline

y-2=

Calculate Slope: First, we need to find the slope of the line that passes through the points $(-1, -10)$ and $(5, 2)$ . The slope $m$ is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . $\newline$ Let's calculate it: $\newline$ $m = \frac{2 - (-10)}{5 - (-1)}$ $\newline$ $m = \frac{2 + 10}{5 + 1}$ $\newline$ $m = \frac{12}{6}$ $\newline$ $m = 2$
Write Point-Slope Form: Now that we have the slope, we can use one of the points and the slope to write the point-slope form of the equation. The point-slope form is $y - y_1 = m(x - x_1)$ , where $m$ is the slope and $(x_1, y_1)$ is a point on the line. $\newline$ Let's use the point $(5, 2)$ and the slope $m = 2$ : $\newline$ $y - 2 = 2(x - 5)$