Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line has a slope of $-5$ and a $y$ -intercept of $\frac{4}{7}$ . 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

-5

and a

y

-intercept of

\frac{4}{7}

. Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.

Slope-Intercept Form: The slope-intercept form of a line is given by the equation $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.
Given Values: We are given the slope $m$ as $-5$ and the y-intercept $b$ as $\frac{4}{7}$ . We can substitute these values directly into the slope-intercept form equation.
Substitution: Substituting the given values into the equation, we get $y = -5x + \frac{4}{7}$ .

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