QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.
EQUATION:- 2x - 3y + 36 = 0
STANDARD EQUATION:- y=mx+c
where
- m-> slope.
- c-> Y-INTERCEPT
- x&y are the coordinates.
SO GIVEN EQUATION:- 2x - 3y + 36 = 0
WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

SO :-


Answer:
B
Step-by-step explanation:
Divide y by x for each ordered pair:
2/4 = 1/2
3/6 = 1/2
5/10 = 1/2
7/14 = 1/2
All ratios are equal, so it is proportional.
Answer: B
Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is

We need to find the factored form of this expression.
Step 1: Given

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).


Step 3: Taking out common factors from each parenthesis.

Step 4: Taking out common factors.

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
The correct question is:
A circle has a radius of 45 units and is centered at (-2.4, -4.8).
What is the equation of this circle?
Answer:
Equation of the circle is;
(x + 2.4)² + (y + 4.8)² = 2304
Step-by-step explanation:
The standard equation of a circle is;
(x - a)² + (y - b)² = r²
where;
(a,b) is the center of the circle and r is the radius of the circle
Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45
Thus, plugging those values into the standard form of equation of a circle, we have;
(x - (-2.4))² + (y - (-4.8))² = 48²
This gives;
(x + 2.4)² + (y + 4.8)² = 2304
Answer:
Step-by-step explanation:
On a table, you'd have two columns: one for your input(x) and one for your output(y). If given an x value, put it into the equation to solve for y, and if you have a y value, put it into the equation for x. You can also come up with your own x values and put them into the equation if you need to create a table from scratch I'm not sure what you're asking but this will help you fill in a table. Here's and example for this equation.
X Y
1 3
2 6
3 9
Graphs are pretty simple. Just find a value on the x-axis (horizontal), find the point on the line above or below this value, and look at what number it is for the y value. You can do this backwards if you need to find y when given x.