4-5 Pt. 3 Writing Slope-Intercept Form Equations

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 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

What does 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, which is the value of y when x is 0.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of -5, what does this indicate about the line's direction?

Back

A slope of -5 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 5 units.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 4.

Back

The equation is y = 2x + 4.

Front

What is the y-intercept of the equation y = 3x - 7?

Back

The y-intercept is -7.

Front

If the equation of a line is y = -x + 5, what is the slope?

Back

The slope is -1.

Front

In the equation y = 1.5x + 20, what does the number 20 represent?

Back

The number 20 represents the y-intercept, which is the fixed cost or entrance fee.

Front

How do you convert the equation y = 4x + 1 to standard form?

Back

To convert to standard form, rearrange to 4x - y = -1.