For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
Solution Summary: The author explains how to calculate the equation of Line passing through points using point-slope formula.
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.)
The line passes through the points
(
−
2
,
−
6
)
and
(
1
,
0
)
.
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)
In Exercises 25–27, use the given conditions to write an equation
for each line in point-slope form and slope-intercept form.
25. Passing through (-1, –3) and (4, 2)
26. Passing through (-2, 3) and perpendicular to the line
whose equation is y = -3x – 4
27. Passing through (6, -4) and parallel to the line
whose equation is x + 2y = 5
Write the equation for the line through the points (-2, 8)
and (7, –10) in the form y = m(x – xo) + yo where m is the
slope of the line and (xo, yo) is a point that it passes through.
This is sometimes referred to as the point-slope form of the
line.
y =
Write the slope-intercept form from the table
Y
-2
-1
-1
1.
1.
3.
5.
2.
Introductory Algebra for College Students (7th Edition)
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