Writing Equations of Lines

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

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 the equation y = 4x + 2?

Back

The slope is 4.

Front

What does 'b' represent in the slope-intercept form y = mx + b?

Back

The y-intercept of the line.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

The slope is 3/2.

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 do you convert the standard form of a line Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line has a slope of 2 and passes through the point (1, 3), what is its equation?

Back

The equation is y = 2x + 1.