Question

Write an equation in slope-intercept form for the line shown.

The equation in slope-intercept form is _______ .

Answer 1

y-1/3x+1:

hope it helped

Answer 2

To write the equation in slope-intercept form

⇒ must know what is the slope-intercept form

⇒
`y = mx + b`

• m: the value of the slope
• b: the value of the y-intercept

Let's find the slope first:

⇒ must know the slope's formula

⇒
`(y2-y1)/(x2-x1)`

• (x1, y1) --> one point on the line
• (x2, y2) --> another point on the line that is not (x1, y1)

1. Let's choose (0,1) and (-3,0)
2. Now let's find the slope

⇒
`(0-1)/(-3-0)=(-1)/(-3) =(1)/(3)`

Now let's find the y-intercept

⇒ which occurs where the x-value of the coordinate is 0

⇒ that point is (0,1)

⇒ thus b = 1

Now let's set up the equation in slope-intercept form

`y = (1)/(3) x+1` <-- Answer

Hope that helps!