Standard Form to Slope Intercept Form

Front

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

Back

The slope-intercept form is 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, solve for y in terms of x, isolating y on one side of the equation.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope 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 the slope-intercept form?

Back

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

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Front

What is the first step to isolate y in the equation -2x - 4y = -12?

Back

Add 2x to both sides.

Front

What is the last step to solve for y in the equation 3y = -5x + 10?

Back

Divide everything by 3.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing an upward trend.