A line has a slope of -3/5 and a y-intercept of 7/5. Write its equation in slope-intercept form. ______

Identify Form: Identify the slope-intercept form of a linear equation. The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.Insert Values: Insert the given slope and y-intercept into the slope-intercept form. We are given the slope (m) as -3/5 and the y-intercept (b) as 7/5. Substituting these values into the slope-intercept form, we get y = (-3/5)x + (7/5).Simplify Equation: Simplify the equation if necessary. In this case, the equation y = (-3/5)x + (7/5) is already in its simplest form, so no further simplification is needed.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of $-\frac{3}{5}$ and a $y$ -intercept of $\frac{7}{5}$ . Write its equation in slope-intercept form. $\newline$

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

-\frac{3}{5}

and a

y

-intercept of

\frac{7}{5}

. Write its equation in slope-intercept form.

\newline

Identify Form: Identify the slope-intercept form of a linear equation. $\newline$ The slope-intercept form of a linear equation is given by $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Insert Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $-\frac{3}{5}$ and the y-intercept $b$ as $\frac{7}{5}$ . Substituting these values into the slope-intercept form, we get $y = \left(-\frac{3}{5}\right)x + \left(\frac{7}{5}\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{-3}{5}x + \frac{7}{5}$ is already in its simplest form, so no further simplification is needed.