Standard Form 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 the slope-intercept form?

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 the slope-intercept form?

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 + y = 1 to slope-intercept form.

Back

y = 2x + 1.

Front

Convert the equation 3y - 2x = 9 to slope-intercept form.

Back

y = (2/3)x + 3.

Front

Convert the equation 5y + 10x = 15 to slope-intercept form.

Back

y = -2x + 3.

Front

Convert the equation 2x + 3y = 5 to slope-intercept form.

Back

y = -(2/3)x + (5/3).

Front

Convert the equation 2y = -x - 8 to slope-intercept form.

Back

y = -(1/2)x - 4.

Front

What is the significance of the coefficients in the slope-intercept form?

Back

The coefficient of x (m) indicates the slope, while the constant term (b) indicates the y-intercept.