a line has an equation y = 2x + 5. which line would not intersect this one?
A. y = 3x + 5
B. y = x + 5
C. 2y = 4x + 5
D. y = 2x + 7
2006-11-29 06:17:29 · 8 answers · asked by star wars freak 2 in Science & Mathematics ➔ Mathematics
D. The last number is where the line crosses the Y axis, so all the others will intersect with the given line.
2006-11-29 06:19:19 · answer #1 · answered by boomer sooner 5 · 0⤊ 0⤋
Trick question. The answer is both C and D. Here's how: If you put each equation into the form y = mx +b, then m is the slope of the line. The given line (y = 2x + 5) has a slope of 2. Any two lines with different slopes will intersect eventually. If two lines have the same slope, they are parallel and will never intersect, unless they are the same line (like y = 2x + 5 and 2y = 4x +10). Both C and D have a slope of 2. (Rewrite C as y = 2x + 2.5.)
2006-11-29 06:27:08 · answer #2 · answered by pluck_tyson 2 · 0⤊ 0⤋
Answer is c and d
C does not cross y=2x + 5
Take c: 2y=4x + 5
Divde both sides by 2 and get: y=2x + 2.5
Notice, the slope is the same (2x) and the Y intercept is 2.5, where as the first equation has y intercept of 5. If you draw both of the lines, y=2x + 5 and y=2x + 2.5, you'll notice, they will form a parallel line. Parallel lines will never cross.
For the same reasons, D will not cross the first equation either.
2006-11-29 06:26:57 · answer #3 · answered by tkquestion 7 · 0⤊ 0⤋
you may locate the slope of the parallel line. customary line equation is interior the kind of y = mx+b, the place m=slope 2x - 3y = 4 -3y = 4 - 2x -3y = -2x + 4 3y = 2x - 4 y = 2/3x - 4/3 m = 2/3 finding on the hot line equation, plug interior the given factors and clean up the cost of the parallel slope. For (4,-2): y = mx + b -2 = (2/3)(4) + b clean up for b, which represents the y-intercept of the equation. -2 = 8/3 + b b = -2 - 8/3 b = -6/3 - 8/3 b = -14/3 Now you plug the slope and y-intercept into the equation type. m = 2/3 b = -14/3 y = mx + b y = 2/3x + (-14/3) y = 2/3x - 14/3 answer verify -2 = (2/3)(4) - (14/3) -6/3 = 8/3 - 14/3 -6 = 8 - 14 -6 = -6 verify Mark
2016-12-10 18:28:18 · answer #4 · answered by hannigan 4 · 0⤊ 0⤋
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2014-07-20 18:59:18 · answer #5 · answered by Anonymous · 0⤊ 0⤋
answer is c and D cuz the have the same slope(m)
m=2 on 3 lines
2006-11-29 06:35:00 · answer #6 · answered by sergioqcostas 1 · 0⤊ 0⤋
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2014-12-04 16:00:24 · answer #7 · answered by Anonymous · 0⤊ 0⤋
D
2006-11-29 06:20:37 · answer #8 · answered by ag_iitkgp 7 · 0⤊ 0⤋