Standard Form to Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation 3x + y = 12 to slope-intercept form?

Back

To convert, isolate y: y = -3x + 12.

Front

What does the 'm' represent in the slope-intercept form?

Back

The 'm' represents the slope of the line, indicating how steep the line is.

Front

What does the 'b' represent in the slope-intercept form?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

Convert the equation 2x + y = 41 to slope-intercept form.

Back

y = -2x + 41.

Front

What is the first step in solving for y in the equation -6x + 3y = 9?

Back

Add 6x to both sides: 3y = 6x + 9.

Front

What is the final slope-intercept form of the equation 2x + 2y = 6?

Back

y = -x + 3.

Front

Which of the following is NOT in slope-intercept form? y = mx + b, Ax + By = C, y - y1 = m(x - x1)

Back

Ax + By = C is NOT in slope-intercept form.

Front

If the slope of a line is 2, what is the equation of the line in slope-intercept form if it passes through the point (0, 3)?

Back

y = 2x + 3.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).