A line has a slope of -7 and passes through the point (2,7). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. ______

Identify Form: Identify the slope-intercept form of a linear equation. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Find Y-Intercept: Use the given slope and point to find the y-intercept (b). Given slope (m) = -7 and point (2, 7). Substitute into y = mx + b: 7 = -7 * 2 + b. 7 = -14 + b. b = 7 + 14. b = 21. Write Equation: Write the equation of the line using the slope and y-intercept. Substitute m = -7 and b = 21 into y = mx + b. Equation: y = -7x + 21.

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A line has a slope of $-7$ and passes through the point $(2,7)$ . Write its equation in slope-intercept form. $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form.

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Math Problems

Grade 8

Write a linear equation from a slope and a point

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Q. A line has a slope of

-7

and passes through the point

(2,7)

. Write its equation in slope-intercept form.

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Identify Form: Identify the slope-intercept form of a linear equation. Slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Find Y-Intercept: Use the given slope and point to find the y-intercept ( $b$ ). $\newline$ Given slope ( $m$ ) = $-7$ and point $(2, 7)$ . $\newline$ Substitute into $y = mx + b$ : $7 = -7 \times 2 + b$ . $\newline$ $7 = -14 + b$ . $\newline$ $b = 7 + 14$ . $\newline$ $b = 21$ .
Write Equation: Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -7$ and $b = 21$ into $y = mx + b$ . $\newline$ Equation: $y = -7x + 21$ .