Writing equations in slope-intercept form

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by 'b' in the equation.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope of the line is 3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

The equation is y = 2x + 1.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -rac{2}{3}x + 2.

Front

What is the y-intercept of the line represented by the equation y = -rac{1}{2}x + 5?

Back

The y-intercept is 5.