Question

find an equation of the line l.

an equation of the line l is
(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify two points

The line passes through $(6,0)$ and $(7,9)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 0}{7 - 6} = 9$

Step3: Use point-slope form

Use point $(6,0)$: $y - y_1 = m(x - x_1)$
$y - 0 = 9(x - 6)$

Step4: Simplify to slope-intercept form

$y = 9x - 54$

Answer:

$y = 9x - 54$