Question

I NEED HELP ON THESE PLZ I WILL GIVE BRAINLIEST!

Answer 1

Answer:

1. Option 4.

2. Option 1.

3. Option 3.

Step-by-step explanation:

1.

The given point is (3, −6), we need to find the graph that shows a pair of lines that represents the equations with the solution (3, −6).

In point (3,-6), the x-coordinate is positive and y-coordinate is negative.

It means a pair of lines is shown intersecting on ordered pair 3 units to the right and 6 units down.

Therefore, the correct option is 4.

2.

Given equations are

$m+3n=10$         .... (1)

$m=n-2$              ..... (2)

Substitute the value of m from equation (2) in equation (1).

$(n-2)+3n=10$

$4n-2=10$

$4n=10+2$

$4n=12$

$n=3$

Substitute n=3 in equation (2).

$m=3-2=1$

The solution to the set of equations in the form (m, n) is (1,3).

Therefore, the correct option is 1.

3.

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

It is given that first line passes through the points (3,0) and (0,6). So, the equation of line is

$y-0=\frac{6-0}{0-3}(x-3)$

$y=-2(x-3)$

$y=-2x+6$

It is given that first line passes through the points (0,0) and (5,5). So, the equation of line is

$y-0=\frac{5-0}{5-0}(x-0)$

$y=x$

Two equation are $y=-2x+6$ and $y=x$. Find the values of both function at x=0 adn x=2.

At x=0,

$y=-2(0)+6=6$ and $y=0$.

At x=2,

$y=-2(2)+6=2$ and $y=2$.

(0,6) is the solution to line A but not to line B.


(2, 2) is the solution to both lines A and B.

Therefore, the correct option is 3.

Answer 2

number one is the last one

second is the third

third is the last