Find the equation of the line passing through (5,-2) and (1,2). Write the answer
ID: 3133533 • Letter: F
Question
Find the equation of the line passing through (5,-2) and (1,2). Write the answer in Slope -intercept form, y = mx + b Compute x- and y- intercepts of this line. Determine whether the two lines 3x + 6y = 2 and 2x + 4y = 1 are intersecting, parallel, or coincident. Explain your answer. Determine whether the two lines x + 2y = 4 and 5x + 4y = 8 are intersecting, parallel, or coincident. Explain your answer. Determine the given two lines are parallel, coincident or intersecting. 4x+6y = -12 x-y = -2 2x+3y = -6 3x-4y = -12 Find the equation of line which is parallel to the line 2x + 3y = 4 and passes through the point (-5,3).Explanation / Answer
1.
A)
As
m = slope = (y2-y1)/(x2-x1) = (2-(-2))/(1-5) = -1
Then
y = mx + b
y = -x + b
Using (1,2),
2 = -1 + b
b = 3
Hence,
y = -x + 3 [ANSWER]
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b)
For y intercept:
b = 3 [ANSWER, Y INTERCEPT]
For x intercept, stting y = 0,
0 = -a + 3
a = 3 [ANSWER, X INTERCEPT]
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