Writing in Slope-Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 = mx + b?

Back

The slope is represented by the coefficient m in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

If a line has a slope of 3 and a y-intercept of -5, what is the equation of the line in slope-intercept form?

Back

The equation of the line is y = 3x - 5.

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope of the line is -4.

Front

How can you find the y-intercept from the equation y = 5x + 1?

Back

The y-intercept can be found by setting x = 0, which gives y = 1.

Front

What ordered pair represents the y-intercept in the equation y = 1/2x + 3?

Back

The ordered pair representing the y-intercept is (0, 3).

Front

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

Back

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

Front

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

Back

The slope of the line is 2.

Front

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

Back

The equation is already in slope-intercept form as y = mx + b.