Find x- and y-intercepts in Standard Form

How can you convert the equation 3x - 4y = 24 to slope-intercept form?

• y = (3/4)x - 6

• y = (4/3)x + 6

• y = -3x + 24

• y = 6x - 4

How do you find the x-intercept of the equation 3x - 4y = 24?

• Set y = 0: 3x - 4(0) = 24, so x = 8.

• Set x = 0: 3(0) - 4y = 24, so y = -6.

• Set y = 0: 3x + 4(0) = 24, so x = 4.

• Set x = 0: 3(0) + 4y = 24, so y = 6.

How do you find the y-intercept of the equation 3x - 4y = 24?

• Set x = 0: 3(0) - 4y = 24, so y = -6.

• Set y = 0: 3x - 4(0) = 24, so x = 8.

• Set x = 0: 3(0) - 4y = 12, so y = -3.

• Set y = 0: 3x - 4(0) = 12, so x = 4.

What is the general form of a linear equation in standard form?

• Ax + By = C

• y = mx + b

• C = A + Bx

• Ax - By = C

Identify the y-intercept of the equation @@\frac{1}{2}x + 4y = -8@@.

• -2

• 0

• 2

• -4

What is the relationship between the x-intercept and y-intercept in a linear equation?

• The x-intercept and y-intercept are points where the line crosses the axes, and they can be used to graph the equation.

• The x-intercept is always greater than the y-intercept in any linear equation.

• The x-intercept and y-intercept are irrelevant to the graph of the equation.

• The x-intercept is the point where the line meets the y-axis, and the y-intercept is where it meets the x-axis.

What does it mean for an equation to be in standard form?

• An equation is in standard form if it is written as Ax + By = C, with A, B, and C being integers and A ≥ 0.

• An equation is in standard form if it is written as y = mx + b, where m is the slope and b is the y-intercept.

• An equation is in standard form if it is expressed as a polynomial in descending order of degree.

• An equation is in standard form if it is written as a fraction with a numerator and denominator.

What is the y-intercept of an equation in standard form?

• The point where the graph crosses the x-axis.

• The point where the graph crosses the y-axis, which occurs when x = 0.

• The slope of the equation at x = 0.

• The value of y when x is at its maximum.

How do you graph the intercepts of a linear equation?

• Plot the x-intercept and y-intercept on the graph, then draw a line through these points.

• Draw a horizontal line at the y-intercept and a vertical line at the x-intercept.

• Connect the origin to the x-intercept and y-intercept with a dashed line.

• Plot the slope of the line and extend it to find the intercepts.

Identify the x-intercept of the equation @@\frac{1}{2}x + 4y = -8@@.

• -8

• -16

• 0

• 8