Mastering Linear Equations: Slope and Intercept Techniques

What is the slope-intercept form of a linear equation?

• y = mx + b

• y = mx - b

• y = ax + b

• y = ax^2 + bx + c

If the slope is 2 and the y-intercept is -1, what is the equation of the line?

• y = -2x + 1

• y = 2x + 1

• y = -2x - 1

• y = 2x - 1

How do you isolate y in the equation 3x + 4y = 12?

• Subtract 3x from both sides, then divide by 4

• Add 3x to both sides, then divide by 4

• Subtract 4y from both sides, then divide by 3

• Add 4y to both sides, then divide by 3

What is the slope of the line given by the equation 2x - 3y = 6?

• 2/3

• -2/3

• -3/2

• 3/2

Given a point (2, 1) and a slope of 3, what is the y-intercept?

• -3

• 5

• -5

• 3

If the slope is 1/2 and the y-intercept is 0, what is the equation of the line?

• y = x/2

• y = 2x

• y = 1/2x + 1

• y = 1/2x

How do you find the slope between two points (4, 2) and (1, 5)?

• (2 - 5) / (1 - 4)

• (5 - 2) / (4 - 1)

• (2 - 5) / (4 - 1)

• (5 - 2) / (1 - 4)

Given points (3, 1) and (2, 4), what is the y-intercept of the line?

• -10

• -5

• 10

• 5

What is the equation of the line passing through points (0, 8) and (1, 13)?

• y = 8x + 5

• y = 5x + 8

• y = 5x - 8

• y = 8x - 5

If a line passes through (0, 8) and has a slope of 5, what is its equation?

• y = 8x + 5

• y = 8x - 5

• y = 5x - 8

• y = 5x + 8