Identifying slope and y-intercept from equations

Front

What is the general form of a linear equation?

Back

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

Front

How do you identify the slope (m) from a linear equation in slope-intercept form?

Back

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

Front

How do you identify the y-intercept (b) from a linear equation in slope-intercept form?

Back

The y-intercept (b) is the constant term in the equation y = mx + b.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What does the y-intercept of a line represent?

Back

The y-intercept of a line represents the point where the line crosses the y-axis (where x = 0).

Front

If a linear equation is given as y = 2x + 5, what is the slope and y-intercept?

Back

The slope (m) is 2 and the y-intercept (b) is 5.

Front

How can you write a linear equation if you know the slope and y-intercept?

Back

You can write the linear equation using the formula y = mx + b, substituting m for the slope and b for the y-intercept.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope (m) is -3.

Front

What is the y-intercept of the line represented by the equation y = 7 - 2x?

Back

The y-intercept (b) is 7.

Front

How do you convert the equation y = 4 - 5x into slope-intercept form?

Back

Rearrange it to y = -5x + 4, where the slope (m) is -5 and the y-intercept (b) is 4.