Question

Graph the line with slope-1/3passing through the point (-1,2)

Answer 1

ANSWER

STEP-BY-STEP EXPLANATION

Given information

$\begin{gathered} \text{Slope of the line =- }\frac{1}{3} \\ \text{ Points = (-1, 2)} \end{gathered}$

Step 1: Find the slope-intercept equation of the line using the below formula

$(y\text{ - y1) = m(x - x1)}$

Where m is the slope of the line

From the given data, we have

$\begin{gathered} m\text{ = -}\frac{1}{3} \\ x1\text{ = -1 and y1 = 2} \end{gathered}$

Substitute the data into the above formula

$\begin{gathered} (y\text{ - 2) = -}\frac{1}{3}\lbrack(x\text{ -(-1)\rbrack} \\ (y\text{ - 2) = -}\frac{1}{3}(x\text{ + 1)} \\ \text{open the parentheses} \\ y\text{ - 2 = -}\frac{1}{3}x\text{ - }\frac{1}{3} \\ \text{Add 2 to the both sides of the equation} \\ y\text{ - 2 + 2 = -}\frac{1}{3}x\text{ - }\frac{1}{3}\text{ + 2} \\ y\text{ = -}\frac{1}{3}x\text{ + }\frac{5}{3} \end{gathered}$

Step 2: Graph the above slope-intercept equation