DMR 4 (A1) - Rewriting to y=mx+b

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 isolate y in the equation 5x - 2y = 8?

Back

To isolate y, rearrange the equation: 2y = 5x - 8, then divide by 2: y = \frac{5}{2}x - 4.

Front

What does the slope (m) represent in the equation y = mx + b?

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 the equation y = mx + b?

Back

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

Front

Convert the equation y - 2 = -4(x - 3) to slope-intercept form.

Back

y = -4x + 14.

Front

What is the first step to convert y - 5 = \frac{1}{3}(x - 18) to slope-intercept form?

Back

Distribute \frac{1}{3} to (x - 18): y - 5 = \frac{1}{3}x - 6.

Front

How do you find the slope from the equation y - 4 = 3(x + 3)?

Back

The slope is the coefficient of x after converting to slope-intercept form, which is 3.

Front

What is the slope of the line represented by the equation y = -4x + 12?

Back

The slope is -4.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What is the process to convert an equation in standard form to slope-intercept form?

Back

Rearrange the equation to isolate y on one side, typically by moving terms involving x to the other side.