Answer:
y = 4/3x + 4
Step-by-step explanation:
y = mx + b is the formula for finding the slope intercept form equation
m = slope
b = y intercept
If you look at points (-3, 0) and (0, 4), you can calculate the slope
You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)
Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4
Now, lets create your equation...
y = 4/3x + 4
<span> 1/3(2x - 3) + 1 = 1/4(3x + 5) - 2
2x/3 - 3/3 + 1 = 3x/4 + 5/4 - 2
2x/3 - 1 + 1 = 3x/4 + 5/4 - 2
2x/3 - 3x/4 - 0 = 3x/4 - 3x/4 + 5/4 - 2
2x*4/3*4 - 3x*3/4*3 = 0 + 5*1/4*1 - 2*4/1*4
8x/12 - 9x/12 = 5/4 - 8/4
(8x - 9x)/12 = (5 - 8)/4
-x/12 = -3/4
-x/12 * 12 = -3/4 * 12
-x = -36/4
-x * -1 = -36/4 * -1
x = 36/4
x = 9
Done
For check the answer
let x = 9
1/3(2[9] - 3) + 1 = 1/4(3[9] + 5) - 2
1/3(18 - 3) + 1 = 1/4(27 + 5) - 2
1/3(15) + 1 = 1/4(32) - 2
15/3 + 1 = 32/4 - 2
15/3 + 3/3 = 32/4 - 8/4
18/3 = 24/4
6 = 6
therefor
x = 9 is a correct answer</span>
Answer:
-6 -7 -8 -9 -10
Step-by-step explanation:
anything that keeps going from there dont do anything like -5 -4 -3 -2 -1 because it would be wrong
any negative number that keeps increasing after -6