Writing Equations Given Slope & y-intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as the value of y when x = 0.

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

How do you identify the slope from the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you identify the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Front

Given the slope of 2 and y-intercept of -3, write the equation of the line.

Back

y = 2x - 3.

Front

What is the slope of the line represented by the equation y = 0?

Back

The slope is 0 (horizontal line).

Front

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

Back

The slope is undefined (vertical line).

Front

If a line has a slope of -3 and passes through the point (0, 2), what is the equation of the line?

Back

y = -3x + 2.