Answer:
The Answer is: A. the slope of f(x) is less than the slope of g(x). the Y intercept of f(x) is equal to the Y intercepts of g(x).
Step-by-step explanation:
Given points for f(x): (0, 1), (2, 4), (4, 7)
Given equation for g(x): g(x) = 2x + 1
Slope for g(x): m = 2
Calculate points for g(x):
g(0) = 1, giving (0, 1)
g(1) = 3, giving (1, 3)
g(2) = 5, giving (2, 5)
g(4) = 9, giving (4, 9)
Calculate the slope for f(x):
m = (y - y1) / (x - x1)
m = 1 - 4 / 0 - 2
m = -3/-2 = 3/2
The slope m = 3/2 of f(x) is is less than the slope m = 2 of g(x). The y intercept for each equation is 1 because g(0) = f(0) = 1 .
Hope this helps!! Have an Awesome day!!! :-)
Answer:
y = x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
y - 3 = 1(x - 1) ← distribute
y - 3 = x - 1 ( add 3 to both sides )
y = x + 2 ← in slope- intercept form
Answer:
slope = 5
Step-by-step explanation:
The slope is the rate of change of the function. Although not mathaticaly rigorous, the slope of the line is the same as the slope of an uphill road. It's just a number that shows you how much the function change for every tiny step you take to the right. In order to calculate it, given that we are talking about a line which slope is constant, you have two pick two points. The slope is the difference of their y coordinates, divided by the difference of their x coordinates.
For example let's pick the following two points:
A(0,0) and B(1,5)
slope = ( y_B - y_A ) / ( x_B - x_A )
= ( 5 - 0 ) / ( 1 - 0 ) = 5
However, the above is a mechanism you can follow even when the exercise is a tough one.
To sum up, the slope is a number that shows you how much tilted is the graph. For every step to the right, how much does the value of the function change?
Hope i helped ;)
Answer: 8 & 13
Step-by-step explanation:
13 squared is 169 and 8 squared is 64, and the difference of those two squares would be 169 - 64 = 105. Hope this helps!
Answer:
$38.40
Step-by-step explanation:
