+472 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
+23254 For each of these, find two points.
First, enter 0 for x, and solve for y
Then, enter 0 for y, and solve for x.
For instance: 8x + 4y = 32
First: let x = 0 ---> 8(0) + 4y = 32
0 + 4y = 32
4y = 32
y = 8 ---> Plot the point (0, 8)
Then: let y = 0 ---> 8x + 4(0) = 32
8x + 0 = 32
8x = 32
x = 4 ---> Plot the point (4, 0)
Then draw the line that passes through the points (0, 8) and (4, 0).
+26396 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
For all equations it is the same: a*x+b*y = a*b
so
a⋅x+b⋅y=a⋅b|:(a⋅b)a⋅xa⋅b+b⋅ya⋅b=1xb+ya=1 y-intercept(x=0):ya=1y=a x-intercept(y=0):xb=1x=b
So connect (0,a) with (b,0) to draw the line
We have:
a=b=connect9.8x+4y=3284(0,8) → (4,0)10.–6x+5y=–30−65(0,−6) → (5,0)11.–4x–5y=20−4−5(0,−4) → (−5,0)12.6x+8y=4868(0,6) → (8,0)13.3x+7y=2137(0,3) → (7,0)14.6x–7y=–426−7(0,6) → (−7,0)15.–3x+3y=–9−33(0,−3) → (3,0)16.7x–2y=–147−2(0,7) → (−2,0)
