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Line mm in the xy-plane contains the points (2,4) and (0,1). Which of the following is an equation of line

mm?

a) y=2x+2
b) y=2x+4
c) y=3x+1
d) y=3x+2

User LuckyLikey
by
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1 Answer

5 votes

Final answer:

The equation of line mm is y = (3/2)x + 1.

Step-by-step explanation:

To determine the equation of line mm, we first need to find the slope (m) and y-intercept (b) of the line. The slope can be found using the formula: m = (y2 - y1) / (x2 - x1). Using the given points (2,4) and (0,1), we can calculate m as follows: m = (4-1) / (2-0) = 3/2. The y-intercept can be determined by substituting the slope and one of the given points into the slope-intercept form, y = mx + b. Let's use the point (2,4). Substitute m = 3/2, x = 2, and y = 4 into the equation and solve for b: 4 = (3/2)(2) + b. Simplifying, we get: 4 = 6/2 + b. 4 = 3 + b. Subtracting 3 from both sides gives: 1 = b. Therefore, the equation of line mm is: y = (3/2)x + 1.

User Piero
by
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