HW/CW Linear Equations

Front

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

Back

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

Front

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

Back

To convert, solve for y in the point-slope form equation: y - y1 = m(x - x1) to get y = mx + b.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation.

Front

Find the slope of the line passing through the points (2, 2) and (3, 4).

Back

Slope (m) = (y2 - y1) / (x2 - x1) = (4 - 2) / (3 - 2) = 2.

Front

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

Back

y - 4 = 2(x - 3).

Front

What does the slope of a line indicate?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you find the y-intercept from the slope-intercept form?

Back

In the slope-intercept form y = mx + b, the y-intercept is the value of b.

Front

Write the equation of the line with slope -4 that passes through the point (-1, 5) in point-slope form.

Back

y - 5 = -4(x + 1).

Front

What is the y-intercept of the equation y = 4x + 3?

Back

The y-intercept is 3.

Front

Write the equation of the line in point-slope form that goes through the point (10, 5) and has a slope of -3.

Back

y - 5 = -3(x - 10).