Question

name: jamei robinson date: 9/17/2025 pd: 1a 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 or slope - intercept form which key features of the graph can you determine from this equation? then determine what they are for the equation

Explanation:

Step1: Recall equation forms

The standard - form of a linear equation is $Ax + By=C$, where $A$, $B$, and $C$ are constants and $A$ and $B$ are not both zero. The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
The given equation $2.5x+5y = 20$ is in the form $Ax + By = C$ with $A = 2.5$, $B = 5$, and $C = 20$. So it is in standard form.

Step2: Determine key graph features

For the x - intercept, set $y = 0$:
$2.5x+5(0)=20$, then $2.5x=20$, and $x=\frac{20}{2.5}=8$.
For the y - intercept, set $x = 0$:
$2.5(0)+5y=20$, then $5y = 20$, and $y = 4$.

Answer:

The equation is in Standard Form. The x - intercept is 8 and the y - intercept is 4.