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 the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept of a line represent?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every 1 unit increase in x, y increases by 1 unit, resulting in a 45-degree angle line.

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

What is the slope of the line represented by the equation y = -3x + 5?

Back

The slope is -3.

Front

What is the y-intercept of the line represented by the equation y = 4x - 2?

Back

The y-intercept is -2.

Front

How do you write the equation of a line given a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.