Question

PLEASE HELP what is an equation of the line?

Answer 1

The equation of line is $y+3=2(x+2)$

Option A is correct.

Step-by-step explanation:

We need to find the equation of the line.

Looking at the graph the two points are: (2,5) and (-2,-3)

We will first find the slope of these points using formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Here x₁ = -2, y₁=-3, x₂=2 and y₂=5

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{5-(-3)}{2-(-2)}\\Slope=\frac{8}{4}\\Slope=2$

So, slope of the line is 2.

Considering that both lines are parallel (as not given in question). both lines will have same slope.

Now using Point slope form to find the equation.

$y-y_1=m(x-x_1)$

Using point (-2,-3) and slope m= 2

$y-y_1=m(x-x_1)\\y-(-3)=2(x-(-2))\\y+3=2(x+2)$

So, the equation of line is $y+3=2(x+2)$

Option A is correct.