Graphing Using Slope-Intercept Form

Front

What is the slope in the slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b, representing the rate of change of y with respect to x.

Front

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

Back

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

Front

How do you identify the slope from the equation y = 4x + 1?

Back

The slope is 4, which indicates that for every 1 unit increase in x, y increases by 4 units.

Front

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

Back

The slope is -3, indicating a decrease in y as x increases.

Front

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

Back

A slope of 0 indicates a horizontal line, meaning y remains constant regardless of x.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -4?

Back

The equation is y = 1x - 4 or simply y = x - 4.

Front

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

Back

The equation is already in slope-intercept form, where the slope is 2 and the y-intercept is 3.

Front

What is the y-intercept of the equation y = -5x + 7?

Back

The y-intercept is 7, which is the value of y when x = 0.

Front

If a line has a slope of 1/2, how would you write its equation with a y-intercept of 4?

Back

The equation would be y = (1/2)x + 4.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.