which equation represents the graphed function?\no y = -2x + 3\no y = 2x + 3\no y = \\frac{1}{2}x + 3\no y =…
which equation represents the graphed function?\no y = -2x + 3\no y = 2x + 3\no y = \\frac{1}{2}x + 3\no y = -\\frac{1}{2}x + 3
Answer
Explanation:
Step1: Recall slope - intercept form
The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
Step2: Find the y - intercept
The line crosses the y - axis at the point $(0,3)$, so $b = 3$.
Step3: Calculate the slope
Use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ with points $(0,3)$ and $(1,1)$. So $m=\frac{1 - 3}{1-0}=\frac{-2}{1}=-2$.
Step4: Write the equation
Substitute $m=-2$ and $b = 3$ into $y=mx + b$, we get $y=-2x + 3$.
Answer:
$y=-2x + 3$