Question

plot the point on this function with an x - value of 0. what is the y - value of this point?

Explanation:

Step1: Identify line equation from point

We use the given point $(x=7, y=7)$ and observe the line has a slope of $-1$ (since $x$ and $y$ change by equal opposite amounts). The slope-intercept form is $y = mx + b$.
Substitute $x=7$, $y=7$, $m=-1$:
$$7 = -1(7) + b$$

Step2: Solve for y-intercept $b$

Calculate $b$:
$$b = 7 + 7 = 14$$
So the line equation is $y = -x + 14$.

Step3: Find y when $x=0$

Substitute $x=0$ into the equation:
$$y = -(0) + 14$$

Answer:

14