Section 14.3 Deliberate Practice: Point-Slope Form
Algebra is a skill, which means it requires practice to become proficient. But it will take more than rote repetition to get there. Deliberate practice is the thoughtful repetition of a task. For each of these sections, you will be given a list of specific skills or ideas to focus on as you practice thinking through the problems.
Focus on these skills:
Present your work legibly.
Worksheet Worksheet
Instructions: Find a point-slope form of the line that meets the specified conditions, then rewrite it in slope-intercept form.
1.
The line that passes through the point \((2,-1)\) with slope \(\frac{1}{3}\text{.}\)
2.
The line that passes through the point \((-1,2)\) with slope \(\frac{3}{2}\text{.}\)
3.
The line that passes through the point \((3,0)\) with slope \(-3\text{.}\)
4.
The line that passes through the points \((2,4)\) and \((-1,-1)\text{.}\)
5.
The line that passes through the points \((1,-2)\) and \((3,2)\text{.}\)
6.
The line that passes through the points \((0,3)\) and \((2,0)\text{.}\)
7.
The line that passes through the point \((-1, -2)\) that is parallel to \(y = - \frac{1}{2} x + 4\)
8.
The line that passes through the point \((-1, -2)\) that is parallel to \(y = \frac{2}{3} x - 1\)
9.
The line that passes through the point \((2, -3)\) that is parallel to \(y + 2 = \frac{5}{2} (x - 2)\)
10.
The line that passes through the point \((2, -3)\) that is parallel to \(y - 1 = -2(x + 3)\)