Question

plot the point on this function with a y - value of 3.
what is the x - value of this point?

Explanation:

Step1: Identify function from graph

First, find the equation of the line. The y-intercept $b=3$ (when $x=0$, $y=3$). The slope $m=\frac{\Delta y}{\Delta x}=\frac{6-3}{10-0}=\frac{3}{10}=0.3$. So the function is $y=0.3x+3$.

Step2: Solve for x when y=3

Substitute $y=3$ into the equation:
$3=0.3x+3$
Subtract 3 from both sides:
$3-3=0.3x+3-3$
$0=0.3x$
Divide both sides by 0.3:
$x=\frac{0}{0.3}=0$

Answer:

$x=0$ (the point is $(0, 3)$)