Answer:
y=1/2x+13
Step-by-step explanation:
The slope-intercept form is: y=mx+b, where m is the slope and b is the y-intercept of the line. First, you have to calculate the slope using the following formula:
m=y2-y1/x2-x1
You have two points: (6, 16), (10,18) as the chores are the independent variable which is x, and the money is the dependent variable which is y.
Now, you can replace the values in the formula:
y2=18
y1=16
x2=10
x1=6
m=(18-16)/(10-6)
m=2/4
m=1/2
Now, you use the point-slope formula:
y-y1=m(x-x1)
You have to replace the value of the slope and one point and solve for y:
y-16=1/2(x-6)
y-16=1/2x-3
y=1/2x-3+16
y=1/2x+13
According to this, the answer is that the equation for his allowance in slope-intercept form is: y=1/2x+13.
Answer:
4/3
Step-by-step explanation:
Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is
m = rise / run = 12/9 = 4/3
It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then
m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3
20.16 hopefully it’s right
4b+24=7b-8
32=3b
b=32/3
hope this helps!
