Find the equation of the line passing through (5,-2) and (1,2). Write the answer

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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