Standard to 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 convert an equation from standard form to slope-intercept form?

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is and the direction it goes (positive or negative).

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -2/3x + 2.

Front

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

Back

The slope of the line is -3.

Front

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

Back

The y-intercept of the line is -7.

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

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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