Answer:
if you have a calculator then you would have to put it in
A straight line can be drawn through all the points and the line passes through the point where x=0 and y=0. This best describes a graph of paired points that form a proportional relationship. You can tell this because the line passes directly through the origin (0,0). It also says that it is a straight line that passes through the points, so most likely the line will contain points that have a proportional relationship. Hope that helps :)
The linear functions are:
y = 6x - 2
x + y = 12
y = x
The non-linear functions are:
y = 3x³ + 5
y = x² - 33
Explanation:
Linear functions can be written in the form y = mx+b, where m is the slope and b is the y-intercept. In linear functions, the x variable has at highest an exponent of 1.
The first equation, y = 6x - 2, is in slope-intercept form; it is linear.
The second equation, y = 3x³ + 5, has an x with an exponent greater than 1; it is non-linear.
The third equation, y = x² - 33, has an x with an exponent greater than 1; it is non-linear.
The fourth equation, x + y = 12, can be written as y=mx+b:
x+y=12
Subtract x from both sides:
x+y-x=12-x
y = -x+12
This is a <span><u><em>linear </em></u></span>function.
The <u>fifth </u>equation, y = x, is in the form y=mx+b; in this case, m=1 and b=0. This is <u><em>linear</em></u>.
Points A, B, and C lie on a line.
Point A is between points B and C.
Starting at point A and going past point B, you have ray AB.
Starting at point A and going past point C, you have ray AC.
If you think of angle BAC, it is a straight angle of 180 degrees.
You have the two rays AB and AC forming a line and an angle.
