A line has a slope of -2 and passes through the point (-2,-3). Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. ______

Identify slope-intercept form: Step 1: Identify the slope-intercept form of a line. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Find y-intercept: Step 2: Use the given slope and point to find the y-intercept (b). Given slope (m) = -2 and point (-2, -3). Substitute these values into the slope-intercept equation: -3 = -2(-2) + b -3 = 4 + b b = -3 - 4 b = -7 Write equation of line: Step 3: Write the equation of the line using the slope and y-intercept. Substitute m = -2 and b = -7 into y = mx + b: y = -2x - 7

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A line has a slope of $-2$ and passes through the point $(-2,-3)$ . 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

-2

and passes through the point

(-2,-3)

. Write its equation in slope-intercept form.

\newline

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

Identify slope-intercept form: Step $1$ : Identify the slope-intercept form of a line. $\newline$ The slope-intercept form is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Find y-intercept: Step $2$ : Use the given slope and point to find the y-intercept $b$ . $\newline$ Given slope $m = -2$ and point $(-2, -3)$ . $\newline$ Substitute these values into the slope-intercept equation: $\newline$ $-3 = -2(-2) + b$ $\newline$ $-3 = 4 + b$ $\newline$ $b = -3 - 4$ $\newline$ $b = -7$
Write equation of line: Step $3$ : Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -2$ and $b = -7$ into $y = mx + b$ : $\newline$ $y = -2x - 7$