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 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 = 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 the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

The slope of the line is -3.

Front

How can you find the equation of a line given a slope and a point on the line?

Back

You can use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line represented by the equation y = 2/3x + 6?

Back

The slope of the line is 2/3.

Front

How do you convert the equation from standard form to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

The equation is y = 4x + 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.