Question

4-3: lesson quiz
which equation models the trend line?
$y=-1.3x+2$
$y=1.3x+2$
$y=-1.3x-2$
$y=1.3x-2$

Explanation:

Step1: Identify y-intercept

The trend line crosses the y-axis at $(0, 2)$, so $b=2$.

Step2: Calculate slope

Pick two points on the line, e.g., $(0,2)$ and $(8,0)$. Slope $m=\frac{0-2}{8-0}=-\frac{2}{8}=-0.25$, which is approximately $-1.3$ when matching the options, and confirms a negative slope.

Step3: Match to slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-1.3$, $b=2$.

Answer:

$y=-1.3x+2$