191k views
4 votes
⚠️ I NEED HELP IMMEDIATELY ⚠️

Write the equation of the line in slope-intercept form if it passes through the points (-3,2) and (-9,4).

1 Answer

4 votes

Answer:

y = (-1/3)x + 1

Explanation:

To find the equation of the line in slope-intercept form, we first need to find the slope of the line. We can do this using the following formula:

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

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, our two points are (-3, 2) and (-9, 4). Plugging these values into the formula, we get:

slope = (4 - 2) / (-9 - (-3)) = 2 / (-6) = -1/3

Now that we know the slope of the line, we can use it to find the y-intercept. We can do this by substituting the slope and the coordinates of one of the points into the following equation:

y = mx + b

Where m is the slope and b is the y-intercept.

Let's use the point (-3, 2) to find the y-intercept. Substituting these values into the equation, we get:

2 = (-1/3)(-3) + b

2 = 1 + b

b = 2 - 1 = 1

Therefore, the equation of the line in slope-intercept form is:

y = (-1/3)x + 1

This can also be written as:

y = -0.3333x + 1

User Hubert
by
8.7k points

Related questions

asked Aug 19, 2024 109k views
Pickypg asked Aug 19, 2024
by Pickypg
8.0k points
1 answer
1 vote
109k views
asked Aug 17, 2024 199k views
Paul Dove asked Aug 17, 2024
by Paul Dove
8.0k points
2 answers
1 vote
199k views
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