Question

find the slope - intercept form equation of the line graphed below. how do i find the slope from the graph? how do i find the y - intercept point? how do i write y=mx + b with slope and intercept?

Explanation:

Step1: Find two points on the line

Let's take two points, say $(-1, 10)$ and $(0, 4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points: $m=\frac{4 - 10}{0-(-1)}=\frac{-6}{1}=- 6$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,4)$, $b = 4$.

Step4: Write the slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=-6$ and $b = 4$, we get $y=-6x + 4$.

Answer:

$y=-6x + 4$