y=mx+b Form - Identifying from Equations/Writing Eq's

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

What do the variables 'm' and 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line, and 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 4 + \frac{3}{4}x?

Back

The slope is the coefficient of x, which is \frac{3}{4}.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

How do you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = \frac{2}{3}x - 3.

Front

What is the slope of the equation y = 2 - 3x?

Back

The slope is -3.

Front

If a line has a slope of 4, what is the equation if the y-intercept is -3?

Back

The equation is y = 4x - 3.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line is increasing as it moves from left to right.

Front

How can you determine the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is the value of y when x = 0, which is 5.