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 from a linear equation in slope-intercept form?

Back

The slope can be identified as the coefficient of x 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 linear equation is given as y = 4x + 3, what is the slope?

Back

The slope is 4.

Front

If a linear equation is given as y = -2x + 5, what is the y-intercept?

Back

The y-intercept is 5.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What is the slope of the line represented by the equation y = -3x - 1?

Back

The slope is -3.

Front

What is the equation of a line with a slope of 5 and a y-intercept of -2?

Back

The equation is y = 5x - 2.

Front

How do you find the y-intercept from a linear equation?

Back

The y-intercept can be found by setting x = 0 in the equation and solving for y.

Front

What is the slope of the line represented by the equation y = (2/3)x - 5?

Back

The slope is 2/3.