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 ( 0 , − 4 ) and ( − 1 , − 3 ) .
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 ( 0 , − 4 ) and ( − 1 , − 3 ) .
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
(
0
,
−
4
)
and
(
−
1
,
−
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)
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
Does the line through the points (1, 0, –4) and (1, –2, 1) intersect
the x-axis? Explain your reasoning.
Write an equation for the line through the point (-7, –8) and parallel to the line y = 4x – 5 in point-slope form y = yo + m(x – xo).
=0-U help (formulas)
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