Understanding Parallel Lines and Equations

What is the key characteristic of parallel lines in terms of their slopes?

• They have different slopes.

• They have the same slope.

• They intersect at one point.

• They form a right angle.

How do you rearrange the equation 5x - 3y = 15 to identify the slope?

• Add 5x to both sides.

• Multiply both sides by 3.

• Subtract 5x from both sides and divide by -3.

• Add 3y to both sides.

In the point-slope form, what do X1 and Y1 represent?

• The x-intercept of the line.

• The coordinates of a point on the line.

• The y-intercept of the line.

• The slope of the line.

What is the result of distributing the slope in the point-slope form equation?

• It transforms the equation into standard form.

• It gives the x-intercept.

• It changes the slope of the line.

• It simplifies the equation to slope-intercept form.

When using the slope-intercept form directly, what is the purpose of substituting the given point into the equation?

• To verify the line is perpendicular.

• To calculate the new y-intercept.

• To determine the x-intercept.

• To find the slope of the line.