Answer:
Step-by-step explanation:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and b is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named as the "slope-intercept form".The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y.
The slope m of this line shows its steepness, or slant - It can be calculated like this:
m = change in y-value /change in x-value
The equation of any straight line, called a linear equation, can be written as: y = mx + b ....
Answer:
D. Up
Step-by-step explanation:
When a parabola has the form 
, It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
Answer:
You can buy 12 gallons of gas.
Step-by-step explanation:
I took 40 and 3.25, then divided them.
I got a very large ugly decimal. When simplified it is 12.
Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g = 
≈ 11.4 feet
Answer:
y = 2x - 5
Step-by-step explanation:
y = 2x - 5 is in the form
y = mx + b
which is the slope-intercept form.
