The line 3x+2y-5=0 meets the x axis at the point R work out the coordinates of R

To find the coordinates of the point \( R \) where the line \( 3x + 2y - 5 = 0 \) meets the x-axis, we need to recognize that at the x-axis, the value of \( y \) is 0.

Given the equation of the line:

\[
3x + 2y - 5 = 0
\]

Substitute \( y = 0 \):

\[
3x + 2(0) - 5 = 0
\]

Simplify this:

\[
3x - 5 = 0
\]

Add 5 to both sides:

\[
3x = 5
\]

Now, divide both sides by 3:

\[
x = \frac{5}{3}
\]

So, the coordinates of point \( R \) are \( \left(\frac{5}{3}, 0\right) \).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What are the coordinates of the point where the line meets the y-axis?
2. How would you find the slope of the line \( 3x + 2y - 5 = 0 \)?
3. What is the equation of a line parallel to \( 3x + 2y - 5 = 0 \)?
4. How do you determine if a point lies on the line \( 3x + 2y - 5 = 0 \)?
5. What is the distance between the point \( R \) and the origin?

**Tip:** When finding the point where a line intersects the x-axis, set \( y = 0 \) in the line's equation. Similarly, set \( x = 0 \) to find the intersection with the y-axis.

The line 3x + 2y - 5 = 0 meets the x axis at the point R. Work out the coordinates of R.

Learn how to find the coordinates of the point where the line 3x + 2y - 5 = 0 intersects the x-axis. This solution covers key concepts of algebra and coordinate geometry, including how to set y = 0 in a linear equation to find the x-intercept. Suitable for students in Grades 8-10.

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