Question

find the equation of the line. use exact numbers. for a negative y-intercept, type a negative sign. y = \square x + \square

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,7)$, so $b=7$.

Step2: Calculate slope

Use two points $(0,7)$ and $(2,0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-7}{2-0}=-\frac{7}{2}$

Step3: Write line equation

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y = -\frac{7}{2}x+7$