Q22. Find the equation of the line with slope passing through the origin.

Background

Topic: Linear Equations

This question tests your ability to write the equation of a line given its slope and a point it passes through (the origin).

Key Terms and Formulas

• Slope-intercept form:

• Point-slope form:

• Origin:

Step-by-Step Guidance

1. Identify the slope and the point .

2. Use the point-slope form: , substituting the values.

3. Simplify the equation to slope-intercept form .

Try solving on your own before revealing the answer!

Q23. Find the equation of the line with slope passing through .

Background

Topic: Linear Equations

This question tests your ability to write the equation of a line given its slope and a specific point.

Key Terms and Formulas

• Slope-intercept form:

• Point-slope form:

Step-by-Step Guidance

1. Identify the slope and the point .

2. Plug these values into the point-slope form: .

3. Simplify the equation to slope-intercept form .

Try solving on your own before revealing the answer!

Q24. Find the equation of the line with slope passing through .

Background

Topic: Linear Equations

This question tests your ability to write the equation of a line given its slope and a specific point.

Key Terms and Formulas

• Slope-intercept form:

• Point-slope form:

Step-by-Step Guidance

1. Identify the slope and the point .

2. Plug these values into the point-slope form: .

3. Simplify the equation to slope-intercept form .

Try solving on your own before revealing the answer!

Q25. Find the equation of the line passing through and .

Background

Topic: Linear Equations

This question tests your ability to find the equation of a line given two points.

Key Terms and Formulas

• Slope formula:

• Point-slope form:

Step-by-Step Guidance

1. Calculate the slope using the two points: and .

2. Choose one of the points and use the point-slope form to write the equation.

3. Simplify to slope-intercept form .

Try solving on your own before revealing the answer!

Q26. Find the equation of the line passing through and .

Background

Topic: Linear Equations

This question tests your ability to find the equation of a line given two points.

Key Terms and Formulas

• Slope formula:

• Point-slope form:

Step-by-Step Guidance

1. Calculate the slope using the two points: and .

2. Choose one of the points and use the point-slope form to write the equation.

3. Simplify to slope-intercept form .

Try solving on your own before revealing the answer!

Q27. Find the equation of the line passing through and .

Background

Topic: Linear Equations

This question tests your ability to find the equation of a line given two points.

Key Terms and Formulas

• Slope formula:

• Point-slope form:

Step-by-Step Guidance

1. Calculate the slope using the two points: and .

2. Choose one of the points and use the point-slope form to write the equation.

3. Simplify to slope-intercept form .

Try solving on your own before revealing the answer!