What is the point-slope form of a line with slope -3 that contains the point (10, -1)?
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Answer:
- x - 4y = 22
Step-by-step explanation:
<u>Given line:</u>
- x - 4y = 20
<u>Convert the equation into slope-intercept form:</u>
- x - 4y = 20
- 4y = x - 20
- y = 1/4x - 5
It has a slope of 1/4.
Parallel lines have equal slopes.
<u>Find the parallel line lines that passes through the point (2, - 5):</u>
- y = 1/4x + b
<u>Substitute x and y values to work out the value of b:</u>
- - 5 = 1/4*2 + b
- - 5 = 1/2 + b
- b = - 5 - 1/2
- b = - 11/2
<u>The line is:</u>
- y = 1/4x - 11/2
<u>Covert this into standard form:</u>
- y = 1/4x - 11/2
- 4y = x - 22
- x - 4y = 22
