Question

Pls help i don’t understand how to graph

Answer 1

Slope:
`\bf \boxed{-(1)/(3)}`

y-intercept:
`\boxed{-1}`

Equation:
`\boxed{\bf{y=-(1)/(3)x - 1}}`

The two boxes at the bottom are asking you to repeat the above information:

the slope is
`\bf \boxed{-(1)/(3)}` the y-intercept is
`\boxed{-1}`

Explanation:

Actually, you don't have to graph the equation since the graph is already provided

You have to answer the questions based on the provided graph

To find slope

1. Take any two well=defined points on the graph:

• We can see that point (0, -1) which has x value at 0 and y-value 1 unit down is a distinguishable point. Let's call this point P1
• Another point is (3, -2). Let's call this point P2
  

2. Find the difference in y-values between P2 - P1. This called rise

• rise = P2 v-value - P1 y-value = -2 - (-1) = -2 + 1 = - 1

3. Find the corresponding difference in x-values: P2 - P. This is called run

• run = P2 x-value - P1 x-value = 3 - 0 = 3

4. The slope is computed as rise/run = - 1/3

To find y-intercept

Just note where the line crosses the y-axis and the y-value corresponding to that would be the y-intercept

This is also the y-value at which x = 0

Looking at the graph we see that the line crosses(intercepts) the y-axis at y = - 1
So y-intercept = - 1

To write the equation

The equation of the line is
y = mx + b

where

m = slope

b = y-intercept

So the equation of this particular line is

`\bf{-(1)/(3)x - 1}`