Question

Write an equation of the line that passes through the given points.

$\left(-4,3\right),\left(1,13\right)$

Short answer

The required equation is represented by$y=2x+11$.

Step-by-step solution

Step 1. Determine the formula that can be used.

The standard form associated with line that is having a travel through points which are two in count$y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)$ 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$y-y_1=\frac{y_2-y_1}{x_2-x_1}\left(x-x_1\right)$in which the required values can be filled by using the provided points as they are in the form of $\left(x_1,y_1\right)$$\left(x_2,y_2\right)$.

$$\begin{gathered} y-3=\frac{13-3}{1-\left(-4\right)}\left(x-\left(-4\right)\right) \\ y-3=\frac{10}{5}\left(x+4\right) \\ y=2x+8+3 \\ y=2x+11 \end{gathered}$$

Step 3. Write the conclusion.

The obtained equation is$y=2x+11$ so it is the required equation.