For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information. (See Examples 3–4.) The line passes through the point ( − 2 , − 2 ) and is perpendicular to the line y = 1 3 x − 5 .
For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information. (See Examples 3–4.) The line passes through the point ( − 2 , − 2 ) and is perpendicular to the line y = 1 3 x − 5 .
Solution Summary: The author calculates the equation of the line passing through point (x_1,y2) and perpendicular to it.
For Exercises 29–36, use the point-slope formula to write an equation of the line given the following information.(See Examples 3–4.)
The line passes through the point
(
−
2
,
−
2
)
and is perpendicular to the line
y
=
1
3
x
−
5
.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
The following table represents measurement of the height of a bean sprout: Days after sprout was planted 5 7 9 11 Height of sprout in inches 1 2.5 4 5.5 Create a linear equation to represent this situation. According to your equation, how tall will the sprout be after 14 days?
Do you observe a linear relationship between the two variables; consider R2?
In Exercises 31 and 32, find the slope of the curve at the given points.31. y2 + x2 = y4 - 2x at (-2, 1) and (-2, -1)32. (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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