Question

9 fill in the blank 1 point

graph of a line on a coordinate plane

write a linear equation from this graph.

y-intercept type your answer...

slope type your answer... write as an improper fraction or a whole number. simplify if needed.

equation type your answer... write with no space and use / for fractions.

Explanation:

Step1: Find y-intercept

The line crosses y-axis at (0,2), so y-intercept is 2.

Step2: Calculate slope

Take two points (0,2) and (6,0). Slope $m=\frac{0-2}{6-0}=-\frac{1}{3}$.

Step3: Form linear equation

Using $y=mx+b$, substitute $m=-\frac{1}{3}$ and $b=2$: $y=-\frac{1}{3}x+2$.

Answer:

2; -1/3; y=-1/3x+2