Putting Equations into Slope-Intercept Form

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you isolate y in an equation?

Back

To isolate y, you need to rearrange the equation so that y is on one side and all other terms are on the other side.

Front

Convert the equation y - x = -1 into slope-intercept form.

Back

y = x - 1

Front

Convert the equation 3x - 4y = 0 into slope-intercept form.

Back

y = 3/4x

Front

Convert the equation -3x + 7y = 14 into slope-intercept form.

Back

y = 3/7x + 2

Front

Convert the equation -4x + 4y = 16 into slope-intercept form.

Back

y = x + 4

Front

Convert the equation y = x - 3 + 10 into slope-intercept form.

Back

y = x + 7

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.

Front

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

Back

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

Front

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

Back

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