Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.
y = mx + b
y = 3x + b
-4 = 3(9) + b
Now, we can simplify by computing the multiplication on the right side of the equation.
-4 = 27 + b
Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:
-31 = b
Now, we should substitute this value for b back into our equation with the slope.
y = 3x - 31
Therefore, your answer is y = 3x - 31.
Hope this helps!
Answer:
B
Step-by-step explanation:
For the 2017-2018 school year, the average costs for one year of education is:
Tuition/Fees: $4,391
Living Costs: $10,406
Books/Supplies: $1,724
Transportation: $2,313
Other Expenses: $3,025
With the given 7% inflation rate, the average cost will increase for the next session (2018-2019).
Hence, for year 2017-2018 the total expense will be sum of all the given costs.
= $4,391 + $10,406 + $1,724 + $2,313 + $3,025
= $21,859
Okay. To find the number of teens he surveyed, we can write and solve a proportion. Set it up like this: 150/x = 75/100. This is because you’re looking for the amount of students he surveyed and you know the percentage and the number of students that like pop music. 150 is over “x”, because “x” will represent the total number of students surveyed. Now, let’s cross multiply the values. 150 * 100 is 15,000. 75 * x = 75x. 15,000 = 75x. Now, divide each side by 75 to isolate the “x”. 15,000/75 is 200. x = 200. Damian surveyed a total of 200 teenagers.