Question

#1: Write the equation of the graphed line. NO SPACES, ALL LOWERCASE. Please help

Answer 1

Answer:

Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$

Step-by-step explanation:

We need to write the equation of the graphed line.

The equation will be in slope intercept form $y=mx+b$ where m is slope and b is y-intercept

We need to find slope and y-intercept.

Finding slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We will use points (0,-3) and (3,2)

Looking at the graph, we get $x_1=0, y_1=-3, x_2=3, y_2=-1$

Putting values in graph and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-1-(-3)}{3-0} \\Slope=\frac{-1+3}{3} \\Slope=\frac{2}{3}$

So, we get slope $\mathbf{\frac{2}{3} }$

Finding y-intercept

y-intercept can be found when x is zero.

So, looking at graph, when x =0, y=-3

So, y-intercept is -3

Equation of Line

So, equation of line having slope $\mathbf{\frac{2}{3} }$ and y-intercept b = -3

$y=mx+b\\y=\frac{2}{3}x-3$

So, Equation of graphed line is $\mathbf{y=\frac{2}{3}x-3}$