Write the equation of a line with a gradient of 3 that passes through the y axis at y=-4

To write the equation of a line with a given gradient (slope) and y-intercept, you can use the slope-intercept form of a line, which is:

\[
y = mx + c
\]

Where:
- \( m \) is the gradient (slope) of the line.
- \( c \) is the y-intercept (the point where the line crosses the y-axis).

Given:
- Gradient (\( m \)) = 3
- Y-intercept (\( c \)) = -4

Substituting these values into the slope-intercept form:

\[
y = 3x - 4
\]

So, the equation of the line is:

\[
y = 3x - 4
\]

Would you like more details on this, or do you have any questions?

Here are five related questions you might find interesting:
1. How do you find the equation of a line passing through two given points?
2. What is the equation of a line perpendicular to \( y = 3x - 4 \)?
3. How do you determine if two lines are parallel?
4. How do you convert the slope-intercept form of a line to the point-slope form?
5. How do you find the x-intercept of the line \( y = 3x - 4 \)?

**Tip:** When writing the equation of a line, always start by identifying the slope and y-intercept, as these are the key components.

Write the equation of a line with a gradient of 3 that passes through the y axis at y=-4.

Learn how to write the equation of a line with a gradient of 3 and a y-intercept of -4 using the slope-intercept form. This step-by-step guide covers key algebraic concepts and is suitable for students in Grades 6-8.

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