Writing Equations of Lines

Front

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

Back

The slope-intercept form is given by the equation 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 = 3x + 2?

Back

The slope is the coefficient of x, which is 3.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

y = -2x + 4

Front

If a line has a slope of 1 and passes through the origin, what is its equation?

Back

y = x

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Write the equation of a line with slope 5 that passes through the point (1, 2).

Back

y = 5x - 3

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 7?

Back

The slope is -3.