Question

1. the graph of a linear function passes through the points (1, 3) and (4, - 3). write an equation in slope - intercept form that represents this function. enter the correct answer in the box. y =

Explanation:

Step1: Calculate the slope

The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(1,3)$ and $(x_2,y_2)=(4, - 3)$. Then $m=\frac{-3 - 3}{4 - 1}=\frac{-6}{3}=-2$.

Step2: Find the y - intercept

Use the slope - intercept form $y=mx + b$ and substitute one of the points, say $(1,3)$ and $m=-2$. So $3=-2\times1 + b$. Solving for $b$ gives $b=3 + 2=5$.

Step3: Write the equation

The equation of the line in slope - intercept form is $y=-2x + 5$.

Answer:

$y=-2x + 5$