Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of $\frac{5}{3}$ and a $y$ -intercept of $-\frac{2}{3}$ . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

View step-by-step help

View step-by-step help

Slope-intercept form: write an equation

Full solution

Q. A line has a slope of

\frac{5}{3}

and a

y

-intercept of

-\frac{2}{3}

. 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. $\newline$ The slope-intercept form of a linear equation is $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
Insert Values: Insert the given slope and y-intercept into the slope-intercept form. $\newline$ We are given the slope $m$ as $\frac{5}{3}$ and the y-intercept $b$ as $\frac{-2}{3}$ . Substituting these values into the slope-intercept form, we get $y = \frac{5}{3}x + \left(\frac{-2}{3}\right)$ .
Simplify Equation: Simplify the equation if necessary. $\newline$ In this case, the equation $y = \frac{5}{3}x + \left(-\frac{2}{3}\right)$ is already in its simplest form, so no further simplification is needed.

More problems from Slope-intercept form: write an equation

Question

(0, 4)

satisfy the equation

y = x

?

Posted 5 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

Posted 5 months ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

Posted 5 months ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or decimal or fraction, not as an ordered pair.

Posted 5 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

Posted 5 months ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Posted 5 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form.

Posted 5 months ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

Posted 5 months ago

Question

Determine the standard form of the following equation:

\newline

y = -10x + 7

Posted 5 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

Posted 5 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant