Q28. - Algebra 1

Question

Write an equation in point-slope form for the line that passes through the given point with the slope provided.  

 

$\left(6,3\right)$, slope 5

Step-by-Step Solution

Answer

The required equation is represented by $y=5x-27$.

Step 1. Determine the formula that can be used.

The standard form associated with forms which are slope and point related to the line that is straight is $y-y_1=m\left(x-x_1\right)$ in which the representation of the slope is m and the representation of the point which represents the travelling of the line is $\left(x_1,y_1\right)$ can be used to calculate the required equation.

Step 2. Take the help of the obtained method.

Take the help of obtained standard form represented by $y-y_1=m\left(x-x_1\right)$ in which the required values can be filled by using the provided point as it is in the form of $\left(x_1,y_1\right)$ and the slope.

$\begin{array}{c}y-3=5\left(x-6\right)\\ y-3=5x-30\\ y=5x-27\end{array}$

Step 3. Write the conclusion.

The obtained equation is $y=5x-30$ so it is the required equation.