Question

Question number 4 please help

Answer 1

Answer:

The correct answe is H , if yu sub the x value in each of the equations yu should get y

Answer 2

Linear Equations

Linear equations are typically organized in slope-intercept form: $y=mx+b$

• m = the slope
• b = the y-intercept (the value of y when x=0)

To find the slope of a line (m):

1. Find the coordinates of two points that fall on the line
2. Plug them into the following formula:

• $m=\dfrac{y_2-y_1}{x_2-x_1}$ where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of the points

To find the y-intercept of a line (b):

1. Plug the slope into $y=mx+b$
2. Plug in one of the points
3. Solve for b

Solving the Question

We're given a set of coordinates for this linear relation.

First, solve for the slope.

$m=\dfrac{y_2-y_1}{x_2-x_1}$

⇒ Plug in any two points that fall on the line (in this case we used (-2,-7) and (2,1)):

$m=\dfrac{1-(-7)}{2-(-2)}\\\\m=\dfrac{1+7}{2+2}\\\\m=\dfrac{8}{4}\\\\m=2$

Therefore, the slope of the line is 2. Plug this into $y=mx+b$:

$y=2x+b$

Now, let's solve for the y-intercept (b)

$y=2x+b$

Plug in any of the given points:

$1=2(2)+b\\1=4+b\\b=-3$

Therefore, the y-intercept of the line is 3. Plug this back into $y=2x+b$:

$y=2x-3$

Answer

$y=2x-3$