Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.
y =

Explanation:

Step1: Identify slope-intercept form

Slope - intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y - intercept.

Step2: Find the y - intercept (\(b\))

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

Step3: Calculate the slope (\(m\))

We can use two points on the line. Let's take \((0,0)\) and \((1, - 5)\) (we can see from the graph that when \(x = 1\), \(y=-5\)). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(1, - 5)\), we get \(m=\frac{-5 - 0}{1 - 0}=-5\).

Step4: Write the equation

Substitute \(m=-5\) and \(b = 0\) into \(y=mx + b\). We get \(y=-5x+0\) or \(y=-5x\).

Answer:

\(y = - 5x\)