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 ( − 5 , 2 ) and is perpendicular to the line y = 1 2 x + 3 .
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 ( − 5 , 2 ) and is perpendicular to the line y = 1 2 x + 3 .
Solution Summary: The author calculates the equation of the line passing through point (-5,2) 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
(
−
5
,
2
)
and is perpendicular to the line
y
=
1
2
x
+
3
.
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)
Exercises 71–74: The intercept form of a line is + = 1.
Determine the x- and y-intercepts on the graph of the equa-
tion. Draw a conclusion about what the constants a and b
represent in this form.
+= 1
72-
71.
73.
4y
5x
74.
5
Does the line through the points (1, 0, –4) and (1, –2, 1) intersect
the x-axis? Explain your reasoning.
2. Write an equation for the (straight) line that passes through the points (–7,8) and (5,–10).
Express your result in y=mx+b form.
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