Math / Geometry

QuestionEstimate the $x$ - and $y$ -intercepts of the graph. x-intercept: 2 $y$ -intercept: 1 $x$ -intercept: 2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept:-1 $x$ -intercept: -2 $y$ -intercept: 1 $x$ -intercept: 1 $y$ -intercept: 2

Studdy Solution

STEP 1

What is this asking? Find out where the line crosses the $x$ -axis and the $y$ -axis on the graph. Watch out! Don't mix up the $x$ -intercept and $y$ -intercept!
They're not the same thing!

STEP 2

1. Identify the $x$ -intercept
2. Identify the $y$ -intercept

STEP 3

Alright, let's start with the $x$ -intercept!
This is where our line crosses the $x$ -axis.
At this point, the $y$ -value is zero because we're right on the horizontal axis.
So, we need to look at where the line hits the $x$ -axis.
According to the image description, the line crosses the $x$ -axis at 2.
So, our $x$ -intercept is $(2, 0)$ .

STEP 4

Now, let's find the $y$ -intercept!
This is where our line crosses the $y$ -axis.
At this point, the $x$ -value is zero because we're right on the vertical axis.
The image description tells us that the line crosses the $y$ -axis at 1.
So, our $y$ -intercept is $(0, 1)$ .

STEP 5

The $x$ -intercept is $(2, 0)$ and the $y$ -intercept is $(0, 1)$ .

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