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 $(-10,3)$ and $(-8,-8)$

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

(-10,3)

and

(-8,-8)

Calculate Slope: Given points: $\newline$ $(-10, 3)$ and $\newline$ $(-8, -8)$ $\newline$ Find the slope of the line using the points. $\newline$ Slope, $m$ $\newline$ $= \frac{y_2 - y_1}{x_2 - x_1}$ $\newline$ $= \frac{-8 - 3}{-8 - (-10)}$ $\newline$ $= \frac{-11}{2}$ $\newline$ So, $m = -\frac{11}{2}$
Find Y-Intercept: We have: $\newline$ m: $-\frac{11}{2}$ $\newline$ Point: $(-10, 3)$ $\newline$ Find the value of $b$ , the y-intercept. $\newline$ Substitute $x = -10$ , $y = 3$ , and $m = -\frac{11}{2}$ in $y = mx + b$ . $\newline$ $3 = \left(-\frac{11}{2}\right)(-10) + b$ $\newline$ $3 = 55 + b$ $\newline$ $3 - 55 = b$ $\newline$ $(-10, 3)$ $0$ $\newline$ So, $(-10, 3)$ $1$
Write Equation: We found: $\newline$ $m: -\frac{11}{2}$ $\newline$ $b: -52$ $\newline$ Write the equation of the line in slope-intercept form. $\newline$ Substitute $m = -\frac{11}{2}$ and $b = -52$ in $y = mx + b$ . $\newline$ $y = \left(-\frac{11}{2}\right)x + \left(-52\right)$ $\newline$ $y = \left(-\frac{11}{2}\right)x - 52$ $\newline$ Slope-intercept form: $y = \left(-\frac{11}{2}\right)x - 52$

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