Linear 4th icon (y=mx+b)

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

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

Back

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

Front

If a linear equation has a slope of -5, what does this indicate about the line?

Back

A slope of -5 indicates that for every 1 unit increase in x, the value of y decreases by 5 units, resulting in a downward slant of the line.

Front

How can you determine if a linear equation is increasing or decreasing?

Back

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

Front

What is the significance of the point (0, b) in the context of a linear equation?

Back

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

Front

How do you convert the equation f(x) = -10x + 200 into slope-intercept form?

Back

The equation f(x) = -10x + 200 is already in slope-intercept form, where the slope is -10 and the y-intercept is 200.

Front

What does the graph of the equation f(x) = 4/5x + 4 look like?

Back

The graph is a straight line with a slope of 4/5, crossing the y-axis at the point (0, 4).

Front

How can you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the equation f(x) = -5x + 5?

Back

To find the x-intercept, set f(x) = 0: 0 = -5x + 5, which gives x = 1.