Question

What is the equation of the line that passes through the point (-2,5) and has aslope of -4?

Answer 1

Step-by-step explanation:

To find the equation of the line we must calculate the value of b, using the given point and the slope of the graph.

We must use the equation of the line and plug in the given values ​​to find b.

(b is the y coordinate of the y intercept).

The exercise is as follows: (-2, 5)

x y

`\begin{gathered} y=mx+b \\ 5=(-4)(-2)+b \\ 5=8+b \\ 5-8=b \\ -3 \end{gathered}`

Now we must replace b in the equation of the line and thus we obtain the new equation;(

`\begin{gathered} y=mx+b \\ y=-4x+\lbrack-3\rbrack \\ \text{ANSWER: }The\text{ equation of the line is: y=-4x+}\lbrack-3\rbrack \end{gathered}`