Equation of a line

Front

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

Back

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

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x in the equation, represented by m.

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept represents the point where the line crosses the y-axis, which is the value of y when x = 0.

Front

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

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line relatively steep.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0, indicating that there is no vertical change as x changes.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined, as it does not have a defined rise over run.

Front

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

Back

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

Front

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

Back

The equation of the line is y = -1x + 4 or y = -x + 4.

Front

How do you write the equation of a line given a 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.