Understanding Linear Equations

What is the slope of a line that passes through the points (2, 3) and (-1, 4)?

• 1/3

• 3

• -1/3

• -3

In the equation y = mx + b, what does 'b' represent?

• Slope

• Y-intercept

• X-intercept

• Origin

How do you find the slope using the point-slope formula?

• Multiply both sides by the denominator

• Add the x-coordinates

• Subtract the y-coordinates

• Divide the x-coordinates

What is the equation of a line with a slope of -3/5 that passes through the point (5, -2)?

• y = -5/3x + 2

• y = 3/5x - 1

• y = -3/5x + 1

• y = 5/3x - 2

Which form is most commonly used to write the equation of a line?

• Slope-intercept form

• Point-slope form

• Standard form

• Quadratic form

What is the condition for two lines to be parallel?

• Perpendicular slopes

• Same y-intercept

• Same slope

• Different slopes

If a line has a slope of 3, what is the slope of a line perpendicular to it?

• -3

• 1/3

• -1/3

• 3

What is the equation of a line parallel to y = -5x + 1 that passes through (3, -2)?

• y = 5x + 13

• y = -5x + 13

• y = 5x - 13

• y = -5x - 13

How do you determine the slope of a line perpendicular to another line?

• Use the same slope

• Use the negative reciprocal

• Add 1 to the slope

• Subtract 1 from the slope

What is the equation of a line perpendicular to y = 5x + 1 that passes through (3, -2)?

• y = 1/5x + 3/5

• y = -1/5x + 3/5

• y = 5x - 3/5

• y = -5x + 3/5