39.9k views
2 votes
What is the equation for the line in slope-intercept form?

What is the equation for the line in slope-intercept form?-example-1

1 Answer

0 votes

Answer:

y = -2x - 4

Explanation:

Slope intercept form : y = mx + b

Where

  • m = slope
  • b = y intercept

Finding Y - Intercept

The y intercept is the point where the line crosses the y axis.

Here, just by looking at the graph we can say that the y intercept is at (0,-4) because that is where the line passes the y intercept.

This means that b = - 4

Finding the slope

We can find the slope using the following formula

Slope = (y2-y1)/(x2-x1)

Where, (x1,y1) and (x2,y2) are any given points on the line

The points used can vary however I have chosen (0,-4) and (-2,0)

Defining our variables we get (x1,y1) = (0,-4) and (x2,y2) = (-2,0)

So we have x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

We now plug this in to the formula

Slope = (y2-y1)/(x2-x1)

==> plug in x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

Slope = (0-(-4))/(-2-0)

==> remove parenthesis

Slope = (0+4)/(-2-0)

==> simplify addition and subtraction

Slope = 4/-2

==> simplify fraction

Slope = -2

So the slope or "m" is -2

Plugging the y intercept and slope into y intercept form

Again we have y = mx + b

m = slope so m = -2 and b = y intercept so b = -4

Plugging this in, we acquire y = -2x - 4

User Amphyx
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories