Answer:
y = -1/2x + 2
Step-by-step explanation:
A line in slope-intercept form in y = mx + b
"m" is the slope
"b" is the y-intercept
x and y represent points on the graph
To write an equation, you need "m" and "b".
We already know m = -1/2
The point (0, 2) is the y-intercept. The y-intercept occurs when x = 0.
Points are in the form (x , y), so x = 0 and y = 2.
Therefore b = 2.
Substitute m = -1/2 and b = 2 into the equation:
y = mx + b
y = -1/2x + 2
Answer:
The coordinates of the intersection of two lines on a graph represent the values of <u>x</u> and <u>y</u> when you solve the system of equation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
9a - 8 = 2a - 2b
7a - 8 = -2b
7a = 8 - 2b
a = (8 - 2b)/7
Answer:
The graph is symmetric about the origin.
The graph does not pass through the origin.
Step-by-step explanation:
We're given:
- the function y=axn
- a = 1
- n is odd
Because a = 1, then the given function can be rewritten as y = n.
The function y = n will produce a horizontal line. Any function in the form of y = a single number, such as 4 or 9.3 will produce a horizontal line.
- The graph is symmetric about the origin.
This is true, given the graph is a horizontal line.
- The graph does not pass through the origin.
This is also true. We're given that n is an odd number. The graph will only pass through the origin if n = 0, and 0 is even.
- The graph has more than one x-intercept.
This would only be true when n = 0, and this isn't possible. So, no.
