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

The equation in slope-intercept form is _______ .

Write an equation in slope-intercept form for the line shown. The equation in slope-example-1

2 Answers

2 votes

Answer:

y-1/3x+1:

hope it helped

User Petantik
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8 votes

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!

User Byxor
by
7.7k points

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