Writing Slope Intercept Equations

Front

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

Back

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

Front

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

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What is the slope of the line represented by the equation y = 5x + 2?

Back

The slope of the line is 5.

Front

How can you determine the y-intercept from the equation y = -2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = -1/2x + 3?

Back

The slope of the line is -1/2.

Front

If a line has a slope of 3 and a y-intercept of -2, what is the equation of the line?

Back

The equation of the line is y = 3x - 2.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.