Writing Equations from Graphs B

Front

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

Back

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

Front

What does the slope (m) represent in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in the equation y = mx + b?

Back

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

Front

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

Back

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

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A line with a slope of 0 is horizontal, meaning it does not rise or fall as x changes.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

A line with an undefined slope is vertical, meaning it does not change in x as y changes.

Front

What is the equation of a line with a slope of 3 and a y-intercept of -2?

Back

The equation is y = 3x - 2.

Front

What is the equation of a line that passes through the point (0, 4)?

Back

The equation is y = x + 4, assuming a slope of 1.

Front

How can you find the equation of a line given its slope and a point on the line?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the equation of a line with a slope of -1 and passing through (2, 3)?

Back

The equation is y = -1(x - 2) + 3, which simplifies to y = -x + 5.