Review on Writing Equations given a Point and a slope

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 find the equation of a line given a point and a slope?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, which can be represented by the equation x = a constant.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

If a line has a slope of -4, what does this indicate about its direction?

Back

A slope of -4 indicates that the line descends from left to right.

Front

Write the equation of a line with a slope of 2 that passes through the point (3, 4).

Back

y - 4 = 2(x - 3) simplifies to y = 2x - 2.

Front

What is the y-intercept of the line y = 3x + 5?

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.

Front

How do you convert the point-slope form to slope-intercept form?

Back

Rearrange the equation y - y1 = m(x - x1) to solve for y.

Front

What is the equation of a line with a slope of 1/2 that passes through (0, 0)?

Back

y = 1/2 x.

Front

If a line passes through the points (2, 3) and (4, 7), what is its slope?

Back

The slope is (7 - 3) / (4 - 2) = 2.