Question
Find the equation of the line that is parallel to the line x + y - 3 = 0 and that passes through the point (2.3)
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Answer to a math question Find the equation of the line that is parallel to the line x + y - 3 = 0 and that passes through the point (2.3)
Hester
4.8117 Answers
1. Rewrite the given line equation in slope-intercept form to find its slope:
x + y - 3 = 0
\Rightarrow y = -x + 3
2. The slope of the given line is:
m = -1
3. A parallel line will have the same slope. Using the point-slope form of the line equation with the point (2, 3) and slope -1:
y - 3 = -1(x - 2)
4. Simplify the point-slope form to slope-intercept form:
y - 3 = -x + 2
\Rightarrow y = -x + 5
5. Convert back to standard form:
x + y - 5 = 0
So, the equation of the line parallel to the given line and passing through the point (2, 3) is:
x + y - 5 = 0
2. The slope of the given line is:
3. A parallel line will have the same slope. Using the point-slope form of the line equation with the point (2, 3) and slope -1:
4. Simplify the point-slope form to slope-intercept form:
5. Convert back to standard form:
So, the equation of the line parallel to the given line and passing through the point (2, 3) is:
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