Point Slope Form

Front

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

Back

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

Front

How do you identify the slope from a point-slope equation?

Back

In the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does the point (7, 4) represent in the equation y - 4 = -1/3(x - 7)?

Back

The point (7, 4) is a specific point on the line represented by the equation.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Front

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

Back

To convert point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of a line that passes through the points (3, -5) and (5, -1)?

Back

The slope m is calculated as (y2 - y1) / (x2 - x1) = (-1 - (-5)) / (5 - 3) = 2.

Front

Write the point-slope form for a line with slope 5 that passes through the point (-1, -3).

Back

The point-slope form is y + 3 = 5(x + 1).

Front

What is the slope-intercept form of a line?

Back

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

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

What is the equation of a line in point-slope form that passes through (4, 3) with a slope of 1?

Back

The equation is y - 3 = 1(x - 4).