A line has a slope of -1 and a y-intercept of -7/3. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form. ______

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form. We are given the slope (m) as -1 and the y-intercept (b) as -7/3. Substituting these values into the slope-intercept form, we get y = -1x + (-7/3).Simplify Equation: Simplify the equation if necessary. In this case, the equation y = -1x - 7/3 is already in its simplest form. There is no need for further simplification.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of $-1$ and a $y$ -intercept of $-\frac{7}{3}$ . 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

Algebra 1

Slope-intercept form: write an equation

Full solution

Q. A line has a slope of

-1

and a

y

-intercept of

-\frac{7}{3}

. Write its equation in slope-intercept form.

\newline

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

Identify Linear Equation Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Given Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-1$ and the y-intercept $b$ as $-\frac{7}{3}$ . Substituting these values into the slope-intercept form, we get $y = -1x + \left(-\frac{7}{3}\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = -1x - \frac{7}{3}$ is already in its simplest form. There is no need for further simplification.