Write linear equations using slope and a given point on the line.
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Lessons 11 and 12 address writing linear equations using information about the line or situation. In Lesson 11, students are given information about the slope or rate of change, as well as information that includes a pair of $$x$$ and $$y$$ values, in order to determine the $$y$$-intercept or initial value.
If you need to adapt or shorten this lesson for remote learning, we suggest prioritizing Anchor Problems 2 and 3 (benefit from worked examples). Find more guidance on adapting our math curriculum for remote learning here.
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Match each description of a line to the equation that represents it.
Descriptions | Equations |
1. Vertical line through (4, -2) | A. $$y=-2x+4$$ |
2. Line with slope of 2 and $$y-$$intercept (0, -4) | B. $$y=-2+4x$$ |
3. Line with slope of -2 and $$y-$$intercept (0, 4) | C. $$y=-2$$ |
4. Line with slope of -4 and $$y-$$intercept (0, 2) | D. $$x=4$$ |
5. Line with slope of 4 and $$y-$$intercept (0, -2) | E. $$y=-4+2x$$ |
6. Horizontal line through (4, -2) | F. $$y=-4x+2$$ |
A line passes through the point (6, -1) and has a slope of $${-{1\over 3}}$$.
What is the equation for this line in slope-intercept form?
A taxicab driver charges $2.40 per mile plus a one-time flat fee. A 3-mile ride costs you $10.30.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Throughout the summer, you save money from your summer job and put it in your savings account. Starting in the fall, you begin withdrawing $35 each week and no longer add any money to the account. After 5 weeks of withdrawing money, you have $514 left in your savings account.
How much money did you start with in your account? What function represents the amount of money in your account, $$y$$, after $$x$$ weeks of withdrawals?
Write an equation in slope-intercept form for the line that passes through the point $${(-6, -20)}$$ and has a slope of $$2$$.