Question

write an equation of the line that passes through (2, 7) and (0, -5).
y = \square

Explanation:

Step1: Find the slope

Given points $(2,7)$ and $(0,-5)$, slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-5 - 7}{0 - 2} = \frac{-12}{-2} = 6$

Step2: Identify the y-intercept

The point $(0,-5)$ is the y-intercept, so $b = -5$

Step3: Write the equation

Using slope-intercept form $y = mx + b$, substitute $m=6$ and $b=-5$: $y = 6x - 5$

Answer:

$y = 6x - 5$