Converting from Point Slope to Slope Intercept

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

• y = mx + b, where m is the slope and b is the y-intercept

• y = b - mx, where m is the slope and b is the y-intercept

• y = mx^2 + b, where m is the slope and b is the y-intercept

• y = mx + c, where m is the slope and c is the y-intercept

After distributing, what is the next step to isolate y in y + 4 = -27?

• Subtract 4 from both sides of the equation.

• Add 4 to both sides of the equation.

• Multiply both sides by -1.

• Divide both sides by 4.

Identify the slope in the equation y = -3x + 2.

• -1

• 0

• -3

• 2

How can you determine if an equation is in slope-intercept form?

• An equation is in slope-intercept form if it can be expressed as y = mx + b, where m and b are constants.

• An equation is in slope-intercept form if it can be expressed as ax^2 + bx + c = 0.

• An equation is in slope-intercept form if it can be expressed as y = mx^2 + b.

• An equation is in slope-intercept form if it can be expressed as y = b - mx.

What is the significance of the y-intercept in a graph?

• The y-intercept indicates the starting point of the line on the y-axis when x = 0.

• The y-intercept shows the slope of the line.

• The y-intercept represents the maximum value of the function.

• The y-intercept indicates where the line crosses the x-axis.

Convert the equation y - 3 = -2(x + 4) to slope-intercept form.

• y = 2x + 5

• y = -2x + 1

• y = -2x - 5

• y = -2x + 3

What is point-slope form of a linear equation?

• y = mx + b

• y - y₁ = m(x - x₁)

• y = ax² + bx + c

• y - y₁ = b(x - x₁)

What does 'm' represent in the slope-intercept form?

• The y-intercept of the line

• The slope of the line, indicating its steepness and direction

• The x-intercept of the line

• The constant term in the equation

What does 'b' represent in the slope-intercept form?

• The slope of the line

• The x-intercept of the line

• The y-intercept of the line

• The point where the line crosses the x-axis

How do you convert from point-slope form to slope-intercept form?

• Isolate y by moving the slope to the other side of the equation.

• Distribute the slope and then isolate y to get it in the form y = mx + b.

• Multiply both sides by the slope and add the y-intercept.

• Add the slope to both sides of the equation.