Ask a New Question
Menu

Use the image to answer the question.

Write the equation of the line in slope-intercept form.
(1 point)

3 answers

I'm unable to see images, but I can help you understand how to write the equation of a line in slope-intercept form. The slope-intercept form of a line is expressed as:

\[ y = mx + b \]

where \( m \) is the slope of the line and \( b \) is the y-intercept.

To find the equation of the line:

  1. Determine the Slope (m): Calculate the rise over run between two points on the line or read it directly if given.

  2. Determine the y-intercept (b): Identify where the line crosses the y-axis.

Once you have both the slope and y-intercept, you can plug them into the equation format \( y = mx + b \).

If you provide coordinates of two points on the line or the slope and y-intercept, I can help you find the equation.

3/1
how to right Write the equation of the line in slope-intercept form.

It looks like you've provided the slope as \( \frac{3}{1} \), which is equivalent to \( 3 \).

To write the equation of the line in slope-intercept form \( y = mx + b \), you also need the y-intercept \( b \). If you know a point that the line passes through (other than the y-intercept), you can find \( b \).

Example

  1. Given slope (m): \[ m = 3 \]

  2. Find the y-intercept (b):

    • If you have a specific point (for example, (0, 2)), this point can be used directly. If the y-intercept is already given, use that.

  3. Plug the values into the slope-intercept formula:

    • If the line passes through the point (0, 2): \[ b = 2 \]

  4. Write the equation: \[ y = 3x + 2 \]

General Case

If you only have the slope \( m = 3 \) and no specific point, you can express the equation as:

\[ y = 3x + b \]

where \( b \) remains unknown until you have a specific point or the y-intercept.

If you provide a point that the line passes through, I can give you a more specific equation!