Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A line passes through the points $(-2, -16)$ and $(4 ,20)$ . Write its equation in slope-intercept form.

View step-by-step help

View step-by-step help

Write a linear equation from two points

Full solution

Q. A line passes through the points

(-2, -16)

and

(4 ,20)

. Write its equation in slope-intercept form.

Calculate slope: Step $1$ : Calculate the slope of the line using the given points $(-2, -16)$ and $(4, 20)$ . $\newline$ Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$ $\newline$ $m = \frac{20 - (-16)}{4 - (-2)}$ $\newline$ $m = \frac{36}{6}$ $\newline$ $m = 6$
Find y-intercept: Step $2$ : Use the slope and one of the points to find the y-intercept, $b$ . Let's use point $(4, 20)$ . $\newline$ Equation form: $y = mx + b$ $\newline$ Substitute $m = 6$ , $x = 4$ , and $y = 20$ . $\newline$ $20 = 6(4) + b$ $\newline$ $20 = 24 + b$ $\newline$ $b = 20 - 24$ $\newline$ $b = -4$
Write equation: Step $3$ : Write the equation of the line in slope-intercept form using the values of $m$ and $b$ . $\newline$ Equation: $y = mx + b$ $\newline$ Substitute $m = 6$ and $b = -4$ . $\newline$ $y = 6x - 4$

More problems from Write a linear equation from two points

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 2 months ago

Question

Find the slope of the line

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

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

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

\newline

Posted 1 month ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 1 month ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 1 month ago

Question

Find the slope of the line

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

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 1 month 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. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 1 month ago

Question

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

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 2 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 2 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 1 month ago