Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula
. Substitute the x and y values of points A and B into the formula and simplify:

So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation
, write the equation of the line. Remember that the number in place of
, or the coefficient of the x-term, is the slope. So, substitute 3 for
. Also, remember that
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:

Factor the following:
6 x^2 - 19 x + 10
Factor the quadratic 6 x^2 - 19 x + 10. The coefficient of x^2 is 6 and the constant term is 10.
The product of 6 and 10 is 60. The factors of 60 which sum to -19 are -4 and -15.
So 6 x^2 - 19 x + 10 = 6 x^2 - 15 x - 4 x + 10 = 2 x (3 x - 2) - 5 (3 x - 2):
2 x (3 x - 2) - 5 (3 x - 2)
Factor 3 x - 2 from 2 x (3 x - 2) - 5 (3 x - 2):
Answer: (3 x - 2) (2 x - 5)
Answer:
The quotient is: x-7
The remainder is: -2
Step-by-step explanation:
We need to divide (x^2 - 13x +40) divided by (x- 6)
The quotient is: x-7
The remainder is: -2
The division is shown in the figure attached
Answer:
Rate of change is slope
To calculate slope its
y2 - y1 / x2- x1 = slope
Just choose 2 random sets from the table.
I’m gonna go with (0,-10) and (2,20)
Now calculate slope
20 - (-10) / 2 - 0
Solve.
30 / 2
30/2 = 15
Rate of change is 15
Answer:
ask siri
Step-by-step explanation:
go to your phone
go to siri
and then ask her