Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Complete the equation of the line through $(2,1)$ and $(5,-8)$

View step-by-step help

View step-by-step help

Write a linear equation from two points

Full solution

Q. Complete the equation of the line through

(2,1)

and

(5,-8)

Calculate slope: Calculate the slope $m$ of the line using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ with the given points $(2,1)$ and $(5,-8)$ . $\newline$ $m = \frac{-8 - 1}{5 - 2}$ $\newline$ $m = \frac{-9}{3}$ $\newline$ $m = -3$
Find y-intercept: Use one of the points and the slope to find the y-intercept $b$ of the line. Let's use the point $(2,1)$ . Substitute $x = 2$ , $y = 1$ , and $m = -3$ into the equation $y = mx + b$ . $\newline$ $1 = -3(2) + b$ $\newline$ $1 = -6 + b$ $\newline$ $b = 1 + 6$ $\newline$ $b = 7$
Write equation: Write the equation of the line in slope-intercept form $y = mx + b$ using the calculated slope and y-intercept. $\newline$ $y = -3x + 7$

More problems from Write a linear equation from two points

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