Writing Equations in Slope Intercept Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of 3, what does this mean?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

Write the equation of a line with a slope of 1/2 that passes through the point (2, 3).

Back

y = 1/2x + 2.

Front

What is the y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

How do you convert the equation 2x - 3y = 6 into slope-intercept form?

Back

Rearranging gives y = (2/3)x - 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.