Answer:
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.
3x-5y=7 has the same slope as the line. Let's convert.
The slope is 
.
2y-9x=8 has the same y-intercept as the line. Let's convert.
The y-intercept is 4.
We take and b=4 and substitute into y=mx+b.
We now convert to standard form.
For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.
Answer:
The top one because it is decresing by 12
Step-by-step explanation:
Answer:
(x -2)^2 + (y-6)^2 = 16
Step-by-step explanation:
The equation of a circle is of the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- 2)^2 + (y-6)^2 = 4^2
(x -2)^2 + (y-6)^2 = 16
Answer:
Roman
Step-by-step explanation:
An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.
Best of Luck!
