Here is a table of values for a linear relationship (straight line).𝑥−4−3−2−1𝑦131197 Use the table to find the equation of the line in the form 𝑦=𝑚𝑥+𝑐.𝑦=
Question
Here is a table of values for a linear relationship (straight line).𝑥−4−3−2−1𝑦131197 Use the table to find the equation of the line in the form 𝑦=𝑚𝑥+𝑐.𝑦=
Solution
To find the equation of the line in the form y = mx + c, we need to find the slope (m) and the y-intercept (c).
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Calculate the slope (m): The slope of a line is the change in y divided by the change in x. From the table, we can see that as x increases by 1 (from -4 to -3, -3 to -2, etc.), y decreases by 2 (from 13 to 11, 11 to 9, etc.). So, the slope m = -2.
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Find the y-intercept (c): This is the value of y when x = 0. We can find this by extending the pattern in the table to when x = 0. If we continue the pattern, when x = 0, y = 9. So, the y-intercept c = 9.
Therefore, the equation of the line is y = -2x + 9.
Similar Questions
QuestionHere is a table of values for a linear relationship (straight line).𝑥−4−3−2−1𝑦131197 Use the table to find the equation of the line in the form 𝑦=𝑚𝑥+𝑐.
The following data has a linear relationship. Copy and paste the data into Excel. Use Excel to find the equation of the linear trendline.x y1 67 2111 313 1113 369 267 215 1619 51Group of answer choices𝑦=2.5𝑥+3.5𝑦=−9𝐸−16𝑥2+2.5𝑥+3.5𝑦=5.3437𝑥0.7289𝑦=8.1789𝑒0.1113𝑥
The equation of Line A is y = x.A possible equation for Line B is:𝑦=−𝑥𝑦=−𝑥𝑦=3𝑥𝑦=3𝑥𝑦=𝑥3𝑦=𝑥3𝑦=𝑥+2𝑦=𝑥+2𝑦=𝑥−2
A straight line can be represented by an equation of the form y = mx + b where, m is the slope and b is the intercept. The intercept b represents:
Which of the following equation is linear: 2𝑥+𝑥2=3𝑥2+𝑦2=4𝑥=5𝑥
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