Question

find the equation of this line in slope - intercept form.
y = mx + b
y = ?x +
(the right side is a coordinate system with a blue line passing through (0,5) and (1,1))

Explanation:

Step1: Identify y-intercept (b)

The line crosses the y-axis at $(0, 5)$, so $b=5$.

Step2: Calculate slope (m)

Use two points $(0,5)$ and $(1,1)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{1-5}{1-0}=\frac{-4}{1}=-4$

Step3: Substitute into slope-intercept form

Plug $m=-4$ and $b=5$ into $y=mx+b$.

Answer:

$y = -4x + 5$