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3 years ago

9

Write an equation of a line with the given slope and y-intercept.

1 answer:

maxonik [38]3 years ago

6 0

In y = mx + b form, the slope is in the m position and the y int is in the b position

y = mx + b
slope(m) = 4/5
y int (b) = 2
now just sub
y = 4/5x + 2

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puteri [66]

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Final answer is $\frac{3}{2}$ or $\frac{1}{2}$ .

Step-by-step explanation:

Given equation is $\log_x\left(8x-3\right)-\log_x\left(4\right)=2$

Now we need to solve that equation for x.

$\log_x\left(8x-3\right)-\log_x\left(4\right)=2$

Apply formula $\log_c\left(A\right)-\log_c\left(B\right)=\log_c\left(\frac{A}{B}\right)$

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Apply formula $\log_c\left(A\right)=b \Rightarrow c^b=A$

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$4x^2-8x+3=0$

$4x^2-2x-6x+3=0$

$2x(2x-1)-3(2x-1)=0$

$(2x-3)(2x-1)=0$

$2x-3=0$ or $2x-1=0$

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$x=\frac{3}{2}$ or $x=\frac{1}{2}$

Hence final answer is $\frac{3}{2}$ or $\frac{1}{2}$ .

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3 years ago