Understanding Linear Equations in Slope-Intercept Form

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

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

• y = mx + b

If the slope is 3 and the line passes through (-6, 3), what is the y-intercept?

• -3

• 21

• 3

• -21

How do you determine the y-intercept when given a slope and a point?

• By substituting the point into the equation and solving for b

• By multiplying the slope by the y-coordinate

• By dividing the slope by the x-coordinate

• By adding the slope to the x-coordinate

What is the first step in writing a linear equation when given a slope and a point?

• Find the x-intercept

• Substitute the slope and point into y = mx + b

• Calculate the slope

• Graph the point

What should you do after finding the y-intercept in a linear equation?

• Graph the equation

• Recalculate the slope

• Remove the substituted x and y values

• Add the x and y values

What is the equation of a line with a slope of 1/4 passing through (-4, -1)?

• y = 1/4x

• y = 1/4x - 1

• y = 1/4x - 4

• y = 1/4x + 1

When the y-intercept is 0, how should the equation be written?

• Write only the x term

• Include '-0' in the equation

• Write 'y = 0'

• Include '+0' in the equation

For a line with a slope of -3/4 passing through (-12, 3), what is the y-intercept?

• -6

• 9

• -9

• 6

What is the equation of a line with a slope of -3/4 and y-intercept of -6?

• y = 3/4x - 6

• y = -3/4x - 6

• y = 3/4x + 6

• y = -3/4x + 6

How do you handle negative values when calculating the y-intercept?

• Ignore the negative sign

• Add the negative values

• Subtract the negative values

• Multiply the negative values