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 is the slope of the line represented by the equation 4x - 3y = 15?

Back

The slope of the line can be found by converting the equation to slope-intercept form, resulting in a slope of 4/3.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

What is the first step in converting the equation 2x + 4y = 8 into slope-intercept form?

Back

The first step is to subtract 2x from both sides of the equation.

Front

What is the slope of the line represented by the equation 3x - 2y = 0?

Back

The slope of the line is 3/2, which can be found by converting the equation to slope-intercept form.

Front

What does the term 'standard form' refer to in linear equations?

Back

Standard form refers to the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you identify the slope from the equation y = 1/4x + 1/4?

Back

The slope can be identified as the coefficient of x, which is 1/4 in this case.

Front

What is the significance of the coefficients A and B in the standard form of a linear equation?

Back

In the standard form Ax + By = C, A and B represent the coefficients that determine the slope and direction of the line.

Front

How do you find the y-intercept from the equation y = (4/3)x - 5?

Back

The y-intercept is the constant term, which is -5 in this equation.