Question

Write an equation in point slope-intercept form that passes through the given point and has the given slope.

$\left(-4,2\right)$, slope$-3$

Short answer

The required equation is represented by $y=-3x-10$.

Step-by-step solution

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.

$\begin{array}{c}y-2=-3\left(x-\left(-4\right)\right)\\ y=-3x-12+2\\ y=-3x-10\end{array}$

Step 3. Write the conclusion.

The obtained equation is$y=-3x-10$ so it is the required equation.