Your answer is going to be by d ande
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
We have to use the distance formula between the two points provided
Answer:
The y-intercept is (0, -6).
Step-by-step explanation:
The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.
To find the slope of line j, you would use the slope formula: 
.
- Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for
and 1 for 
. Substitute -3 for 
and 4 for 
. 
- The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.
To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).
- Point-slope form is
- Substitute 1 for , 1 for m, and 7 for .
- Simplify: y - 1 = 1(x - 7)
- Distribute 1 inside the parentheses.
- y - 1 = x - 7
- Add 1 to both sides of the equation.
- y = x - 6
The question wants you to find the y-intercept of the equation. To find the y-intercept, make x = 0.
- y = (0) - 6
- Subtract 0 - 6.
- y = -6
A point is shown as (x, y). We made x = 0 and found that y = -6, so if you substitute these values into (x, y) the y-intercept will be (0, -6).
A: For the Dentist, their average income in 30 years is $4,282,200
B: For the Manager, their average income in 30 years is $2,592,000
C: The difference in both their earnings is $1,690,200
Work: So, I just multiplied their average earnings by 30, and that's what their average income will be in 30 years. For the difference, I subtracted the higher earning by the lower earning, and that's the difference.
I hope this helps you. :)
