Writing Linear Equations from Graph

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

How do you identify the slope from a linear equation?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

If a line has a slope of 2, what does this indicate about the line?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4.

Front

How can you find the equation of a line given two points (x1, y1) and (x2, y2)?

Back

First, calculate the slope (m) using m = (y2 - y1) / (x2 - x1). Then use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

If a line is vertical, what can you say about its slope?

Back

The slope of a vertical line is undefined.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, which means y remains constant as x changes.

Front

How do you convert the equation y = 3x + 2 to standard form?

Back

To convert to standard form, rearrange to Ax + By = C: -3x + y = 2.