Point Slope Form Test #5

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In this section, we learn how to algebraically manipulate a linear equation in two variables into different forms: point-slope form, slope-intercept form, and
standard form. We start by officially learning about
slope-intercept form. This form of a line: y = mx + b, allows us to easily identify the slope as: "m" and the y-intercept as: "(0,b)". There are many
different uses for this form of a line. As we have previously seen, it is much easier to graph a linear equation in this format. Next, we turn to
point-slope form. This form of the line is used when we know one point and the slope, or two points on the line. Point-slope form: y - y_{1} = m(x - x_{1}).
We can plug in our known point and the slope and solve for y to place the equation in slope-intercept form. We conclude our lesson by learning about
standard form. This form of the line carries different definitions, based on the text. In most high school courses, the form is given as: ax + by = c,
where a, b, and c are integers, a ≥ 0, a and b are not both zero, and a, b, and c share no common factor other than 1. Most higher level math courses
are less strict on this definition. We have the format of: ax + by = c, where a, b, and c are real numbers and a and b are not both zero.

Point Slope Form Resources:

Videos:

Khan Academy - Video
Khan Academy - Video
Khan Academy - Video
Text Lessons:

Khan Academy - Text Lesson
Khan Academy - Text Lesson
Chili Math - Text Lesson
Worksheets:

Kuta - Worksheet
Khan Academy - Practice
Khan Academy - Practice
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