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 find the slope (m) from the equation 2x + 4y = 12?

Back

To find the slope, rewrite the equation in slope-intercept form (y = mx + b). The slope m is -1/2.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

Rewrite the equation 5x - 2y = 8 in slope-intercept form.

Back

y = \frac{5}{2}x - 4.

Front

What is the slope of the line represented by the equation y = -2x + 6?

Back

The slope of the line is -2.

Front

Convert the equation y - 4 = 3(x + 3) into slope-intercept form.

Back

y = 3x + 13.

Front

What is the first step to rewrite an equation in slope-intercept form?

Back

Isolate y on one side of the equation.

Front

If the equation is y = -4x + 12, what is the y-intercept?

Back

The y-intercept is 12.

Front

How do you determine if a line is increasing or decreasing from its slope?

Back

If the slope (m) is positive, the line is increasing; if negative, the line is decreasing.

Front

Rewrite the equation 8x + 4y = 24 in slope-intercept form.

Back

y = -2x + 6.