+472 Find the x- and y-intercept of the line.
1. –3x + 9y = 18
2. 7x – y = 14
3. –9x + 2y = 72
4. –7x – 2y = 56
Graph the equation.
5. y = –3
6. x = –4
7. y = –4
8. x = 1
Graph the equation using x and y-intercepts.
9. 8x + 4y = 32
10. –6x + 5y = –30
11. –4x – 5y = 20
12. 6x + 8y = 48
13. 3x + 7y = 21
14. 6x – 7y = –42
15. –3x + 3y = –9
16. 7x – 2y = –14
+129852 For the first group, let x = 0 and solve for y....this will be the y intercept
Then ....let y be 0 and solve for x......this will be the x intercept
Here's the first one
1. –3x + 9y = 18
-3(0) + 9y = 18
0 + 9y = 18
9y = 18 divide both sides by 9
y = 2 when x = 0 so we have the point (0,2) this is the y intercept
-3x + 9(0) = 18
-3x + 0 = 18
-3x = 18 divide both sides by -3
x = -6 when y = 0 so we have the point (-6, 0)
Problems 2 - 4 are exactly the same as this
Also 9-16 are exactly the same....the only added thing is that you will plot the two points and draw a line through them.....that will be your graph !!!!
For 5 - 8...these are easy !!!!
x= a means that we draw a vertical line through the x axis at whatever "a" is
y = a means that we draw a horizontal line through the y axis at whatever "a" is
Here's 5 and 6 on the same graph......https://www.desmos.com/calculator/gwc5eya9wl
+129852 For the first group, let x = 0 and solve for y....this will be the y intercept
Then ....let y be 0 and solve for x......this will be the x intercept
Here's the first one
1. –3x + 9y = 18
-3(0) + 9y = 18
0 + 9y = 18
9y = 18 divide both sides by 9
y = 2 when x = 0 so we have the point (0,2) this is the y intercept
-3x + 9(0) = 18
-3x + 0 = 18
-3x = 18 divide both sides by -3
x = -6 when y = 0 so we have the point (-6, 0)
Problems 2 - 4 are exactly the same as this
Also 9-16 are exactly the same....the only added thing is that you will plot the two points and draw a line through them.....that will be your graph !!!!
For 5 - 8...these are easy !!!!
x= a means that we draw a vertical line through the x axis at whatever "a" is
y = a means that we draw a horizontal line through the y axis at whatever "a" is
Here's 5 and 6 on the same graph......https://www.desmos.com/calculator/gwc5eya9wl
