Find the GCF of -10c 2 d and 15cd 2.
1 answer:
You might be interested in
Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for and
in the point-slope form.
−
=
(
−
) which is derived from the slope equation
(
−
)/(
-
)
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
Answer:
The slope of g(x) is:
The slope of f(x) is:
Step-by-step explanation:
For this exercise you need to know that:
1. By definition the slope of any horizontal line is zero ()
2. The slope of a line can be calculated using the following formula:
In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line. Then, based on the explanation given before, you can conclude that its slope is:
To find the slope of the function f(x) shown in the table attached, you need to follow these steps:
- Choose two points from the table:
and
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get: