These two lines graphed below are not parallel. How many solution are there to the system

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

6 0

Answer:

B: One

Step-by-step explanation:

As shown on the graph, they are intersecting at only one point, so the answer is one. If it was infinite it would be the same line. If it had no solution the lines would be parallel.

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Find the slope of the line passing through the points (-5, 3) and (7, 9)

rodikova [14]

$\sf{\red{Answer}}$

$\sf{m = \frac{1}{2} }$

$\sf{\purple{Explanation}}$

$\sf{m = \frac{y_{2}- y_{1}}{m_{2} - m_{1}} }$

$\sf{m = \frac{9- 3}{7- ( - 5)} }$

$\sf{m = \frac{6}{7 + 5} }$

$\sf{m = \frac{6}{12} }$

$\sf{m = \frac{1}{2} }$

3 0

1 year ago

Nata [24]

Answer: 15, -8

Step-by-step explanation:

$u_2=7\\u_2=u_1+r\\u_3=u_1+2r\\u_4=u_1+3r\\\\u_1+u_2+u_3+u_4=4u_1+6r=12\\u_1+r=7\\\\$

$\left \{ \begin {array} {ccc|c|c}u_1+r&=&7&-4&-6\\4u_1+6r&=&12&1&1\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}2r&=&-16\\-2u_1&=&-30\\\end {array} \right.\\\\\\\left \{ \begin {array} {ccc}r&=&-8\\u_1&=&15\\\end {array} \right.\\\\\\Proof:\\u_1=15\\u_2=7\\u_3=-1\\u_4=-9\\sum=12\\$