There is a line that includes the point (6,-3) and has a slope of -3. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. y - ______ = ______(x - ______)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. Point-slope form: y - y_1 = m(x - x_1)Given Point and Slope: We have: Point: (6, -3) Slope: -3 What is the point-slope form of the line? Substitute -3 for m, 6 for x_1, and -3 for y_1 in point-slope form. y - (-3) = -3(x - 6)Substitute Values: Simplify the equation by removing the parentheses around -3. y + 3 = -3(x - 6)

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

There is a line that includes the point $(6,-3)$ and has a slope of $-3$ . 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. $\newline$ $y -$ $=$ $(x -$ __ $)$

View step-by-step help

Home

Math Problems

Algebra 1

Point-slope form: write an equation

Full solution

Q. There is a line that includes the point

(6,-3)

and has a slope of

-3

. 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 -

______

=

______

(x -

______

)

Identify Point-Slope Form: Identify the point-slope form of a linear equation. $\newline$ Point-slope form: $y - y_1 = m(x - x_1)$
Given Point and Slope: We have: $\newline$ Point: $(6, -3)$ $\newline$ Slope: $-3$ $\newline$ What is the point-slope form of the line? $\newline$ Substitute $-3$ for $m$ , $6$ for $x_1$ , and $-3$ for $y_1$ in point-slope form. $\newline$ $y - (-3) = -3(x - 6)$
Substitute Values: Simplify the equation by removing the parentheses around $-3$ . $\newline$ $y + 3 = -3(x - 6)$