Section 14.2 Worksheets
PDF Version of these Worksheets
Worksheet Worksheet 1
1.
Determine the point-slope form of the line that passes through the point \((1, 2)\) with slope \(-2\) then convert that equation to slope-intercept form.
2.
Determine the point-slope form of the line that passes through the point \((-4, 1)\) with slope \(\frac{5}{2}\) then convert that equation to slope-intercept form.
3.
Determine the point-slope form of the line that passes through the point \((2, -3)\) with slope \(-\frac{1}{4}\) then convert that equation to slope-intercept form.
4.
Determine the point-slope form of the line that passes through the point \((-3, -2)\) with slope \(\frac{5}{3}\) then convert that equation to slope-intercept form.
Worksheet Worksheet 2
1.
Determine the equation of the line that passes through the point \((-1, 3)\) with slope \(-\frac{2}{3}\text{,}\) then graph it.
2.
Identify the point and slope used to create the equation \(y - 2 = \frac{3}{2}(x - 4)\text{,}\) then graph the line.
Worksheet Worksheet 3
1.
Find two point-slope equations for the line that passes through the points \((-2, 1)\) and \((5, 5)\text{.}\)
2.
Find two point-slope equations for the line that passes through the points \((-3, 4)\) and \((4, -3)\text{.}\)
3.
Find two point-slope equations for the line that passes through the points \((2, -3)\) and \((-1, 4)\text{.}\)
4.
Find two point-slope equations for the line that passes through the points \((-2, -1)\) and \((3, -1)\text{.}\)
Worksheet Worksheet 4
1.
Find three different point-slope forms for the given line.
2.
Find three different point-slope forms for the given line.
Worksheet Worksheet 5
1.
Find a point-slope form of the line that passes through the point \((0, b)\) with slope \(m\text{.}\)
2.
Find a point-slope form of the line that passes through the point \((a, 0)\) with slope \(m\text{.}\)
3.
Two lines are parallel if they have the same slope. Find the point-slope form of the line that passes through the point \((2, -1)\) that is parallel to the line \(y = 2x - 3\text{.}\)
4.
Two lines are parallel if they have the same slope. Find the point-slope form of the line that passes through the point \((-1, -3)\) that is parallel to the line \(y - 2 = \frac{4}{3} (x + 1)\text{.}\)