Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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 to isolate it on one side of the equation.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the slope of the line represented by the equation 12x - 6y = 30?

Back

The slope is 2.

Front

What is the slope of the line represented by the equation y = 4 - 6x?

Back

The slope is -6.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is -5.

Front

What is the slope-intercept form of the equation for a line with a slope of -1/2 and a y-intercept of 5?

Back

The slope-intercept form is y = -1/2x + 5.

Front

What is the slope-intercept form of the equation for a line with a slope of 3 and a y-intercept of 1?

Back

The slope-intercept form is y = 3x + 1.

Front

How can you identify the slope from the slope-intercept form of a linear equation?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.