Question

name: jameel robinson
date: 9/17/2025
unit 1 day 5.5 wrap - up: connecting equations to graphs - linear equation practice
here is an equation 2.5x + 5y = 20.
what form is this linear equation in? circle one standard form
which key features of the graph can you determine from this equation.
d) slope
2.5
+
e) y - intercept
5
f) x - intercept

Explanation:

Step1: Rewrite in slope - intercept form

Starting with $2.5x + 5y=20$, we isolate $y$. First, subtract $2.5x$ from both sides: $5y=-2.5x + 20$. Then divide each term by 5: $y=-0.5x + 4$.

Step2: Find the slope

The slope - intercept form is $y = mx + b$, where $m$ is the slope. For $y=-0.5x + 4$, the slope $m=-0.5$.

Step3: Find the y - intercept

In the slope - intercept form $y = mx + b$, $b$ is the y - intercept. For $y=-0.5x + 4$, the y - intercept is 4.

Step4: Find the x - intercept

Set $y = 0$ in the original equation $2.5x+5y = 20$. So $2.5x=20$, and then $x=\frac{20}{2.5}=8$.

Answer:

d) Slope: $-0.5$
e) Y - intercept: 4
f) X - intercept: 8