Graphing in Slope-Intercept Form Flashcardizz

Front

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

Back

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

Front

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

Back

The slope is the coefficient of x, which is 3/2.

Front

What is the y-intercept in the equation y = 3/2x + 3?

Back

The y-intercept is the constant term, which is (0, 3).

Front

If the slope of a line is m = 2/3, what does this indicate about the line?

Back

A slope of 2/3 indicates that for every 3 units moved horizontally to the right, the line rises 2 units vertically.

Front

How do you convert the equation y = 4x + 3 into slope-intercept form?

Back

The equation y = 4x + 3 is already in slope-intercept form, where the slope m = 4 and the y-intercept b = 3.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you find the slope from two points on a line, (x1, y1) and (x2, y2)?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

If a line has a slope of -5/3, what does this tell you about its steepness?

Back

A slope of -5/3 indicates a steep line that falls 5 units for every 3 units it moves to the right.