Math  /  Geometry

Question5. Find the xx and yy intercepts for the equation from question 2. Graph that line on the same coordinate plane on the following page. 11=x+y11=x+y

Studdy Solution

STEP 1

What is this asking? We need to find where the line 11=x+y11 = x + y crosses the x-axis and the y-axis, and then draw the line! Watch out! Don't mix up the x-intercept and y-intercept!
Remember, the x-intercept is where y=0y = 0, and the y-intercept is where x=0x = 0.

STEP 2

1. Find the x-intercept
2. Find the y-intercept
3. Graph the line

STEP 3

To find the x-intercept, we set y=0y = 0 because the x-intercept is where the line crosses the x-axis, and on the x-axis, the y-value is always **zero**!
So, we substitute y=0y = 0 into our equation: 11=x+y11 = x + y 11=x+011 = x + 0

STEP 4

Now, we solve for xx.
Since adding zero doesn't change the value, we have: x=11x = 11 So, our x-intercept is (11,0)(11, 0).
Woohoo!

STEP 5

Now, let's find the y-intercept!
This time, we set x=0x = 0 because the y-intercept is where the line crosses the y-axis, and on the y-axis, the x-value is always **zero**!
Substituting x=0x = 0 into our equation gives us: 11=x+y11 = x + y 11=0+y11 = 0 + y

STEP 6

Solving for yy is super easy here!
Since adding zero doesn't change anything, we get: y=11y = 11 So, our y-intercept is (0,11)(0, 11).
Awesome!

STEP 7

We've got our two points: the x-intercept (11,0)(11, 0) and the y-intercept (0,11)(0, 11).
Let's plot these **rockstar** points on our graph!

STEP 8

Now, grab your ruler (or a straight edge) and connect the two points.
Extend the line beyond the points in both directions, because the line goes on forever!
And there you have it, a beautiful graph of the line 11=x+y11 = x + y.

STEP 9

The x-intercept is (11,0)(11, 0) and the y-intercept is (0,11)(0, 11).
The graph should be a straight line passing through these two points.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord