2 years ago

Find the equation of the line through the points (-3-3) and (5,4) Give your answer in slope intercept form.

1 answer:

8 0

Hello :

Hello : let A(-3,-3) B(5,4)
the slope is : (YB - YA)/(XB -XA)
(4+3)/(5+3) =7/8
an equation is : y=ax+b a is a slope

y = (7/8)x +b

the line through point (5,4) : 4 = (7/8)(5)+b
b = - 3/8
the equation is : y =(7/8)x- 3/8

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sleet_krkn [62]

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$\huge \red { \boxed{x = - \frac{49}{17}}}$

Step-by-step explanation:

$log(3x + 1) - log(2x + 5) = 1 \\ \\ log \: \frac{3x + 1}{2x + 5} = log \: 10..( \because \: log \: 10 = 1) \\ \\ \frac{3x + 1}{2x + 5} = 10 \\ \\ 3x + 1 = 20x + 50 \\ 3x - 20x = 50 - 1 \\ \\ - 17x = 49 \\ \\ x = \frac{49}{ - 17} \\ \\ \huge \purple{ \boxed{x = - \frac{49}{17}}} \\$