Convert to Slope-Intercept

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 -4x = 14 - 2y to slope-intercept form?

Back

Rearranging gives y = 2x + 7.

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 3 - 2x = y to slope-intercept form.

Back

The equation in slope-intercept form is y = -2x + 3.

Front

Which of the following is equivalent to y + 6 = \frac{3}{4}(x + 16)?

Back

The equivalent equation is y = \frac{3}{4}x + 6.

Front

How do you isolate y in the equation 9x - 7y = -7?

Back

Rearranging gives y = \frac{9}{7}x + 1.

Front

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

Back

The first step is to isolate y on one side of the equation.

Front

If the slope of a line is 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.