Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Write the equation of the line that passes through the points
(8,0) and
(-3,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
Answer:

Write the equation of the line that passes through the points $(8,0)$ and $(-3,8)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line. $\newline$ Answer:

View step-by-step help

View step-by-step help

Write a linear equation from a slope and y-intercept

Full solution

Q. Write the equation of the line that passes through the points

(8,0)

and

(-3,8)

. Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

\newline

Answer:

Calculate slope formula: Calculate the slope of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ . Given points are $(8,0)$ and $(-3,8)$ , so we have: $x_1 = 8$ , $y_1 = 0$ , $x_2 = -3$ , $y_2 = 8$ . Now, calculate the slope ( $m$ ): $m = \frac{8 - 0}{-3 - 8}$ $m = \frac{8}{-11}$ $(8,0)$ $0$
Calculate slope: Use the point-slope form of the equation of a line, which is $y - y_1 = m(x - x_1)$ . $\newline$ We can use either of the two points for $(x_1, y_1)$ . Let's use the point $(8,0)$ . $\newline$ Substitute $m = -\frac{8}{11}$ , $x_1 = 8$ , and $y_1 = 0$ into the equation: $\newline$ $y - 0 = \left(-\frac{8}{11}\right)(x - 8)$ $\newline$ This simplifies to: $\newline$ $y = \left(-\frac{8}{11}\right)(x - 8)$

More problems from Write a linear equation from a slope and y-intercept

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