A line has a slope of -2 and passes through the point (-3,8). 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) = -2 and point (-3, 8). Substitute into the equation: 8 = -2(-3) + b. Calculate: 8 = 6 + b. Solve for b: b = 8 - 6 = 2. Write Equation: Write the equation of the line using the slope and y-intercept. Substitute m = -2 and b = 2 into y = mx + b. Equation: y = -2x + 2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of $-2$ and passes through the point $(-3,8)$ . Write its equation in slope-intercept form. $\newline$ Write your answer using integers, proper fractions, and improper fractions in simplest form.

View step-by-step help

Home

Math Problems

Grade 8

Write a linear equation from a slope and a point

Full solution

Q. A line has a slope of

-2

and passes through the point

(-3,8)

. 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 $m = -2$ and point $(-3, 8)$ . $\newline$ Substitute into the equation: $8 = -2(-3) + b$ . $\newline$ Calculate: $8 = 6 + b$ . $\newline$ Solve for $b$ : $b = 8 - 6 = 2$ .
Write Equation: Write the equation of the line using the slope and y-intercept. $\newline$ Substitute $m = -2$ and $b = 2$ into $y = mx + b$ . $\newline$ Equation: $y = -2x + 2$ .