There is a line that includes the point (7,-6) and has a slope of 7. 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. The point-slope form of a linear equation is given by the formula y - y_1 = m(x - x_1), where m is the slope of the line and (x_1, y_1) is a point on the line.Substitute Point and Slope: Substitute the given point and slope into the point-slope form. We are given the point (7, -6) and the slope 7. Substituting these values into the point-slope form, we get y - (-6) = 7(x - 7).Simplify Equation: Simplify the equation. Simplifying the left side of the equation by removing the parentheses, we get y + 6 = 7(x - 7). This is the equation of the line in point-slope form.

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 $(7,-6)$ and has a slope of $7$ . 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

(7,-6)

and has a slope of

7

. 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. $\newline$ The point-slope form of a linear equation is given by the formula $y - y_1 = m(x - x_1)$ , where $m$ is the slope of the line and $(x_1, y_1)$ is a point on the line.
Substitute Point and Slope: Substitute the given point and slope into the point-slope form. We are given the point $(7, -6)$ and the slope $7$ . Substituting these values into the point-slope form, we get $y - (-6) = 7(x - 7)$ .
Simplify Equation: Simplify the equation. $\newline$ Simplifying the left side of the equation by removing the parentheses, we get $y + 6 = 7(x - 7)$ . This is the equation of the line in point-slope form.