2 years ago

What is y=3x-14 in standard form

Mathematics

2 answers:

shtirl [24]2 years ago

7 0

$the\ standard\ form:\ Ax+By=C\\\\y=3x-14\ \ \ \Rightarrow\ \ \ -3x+y=-14\ \ \ oder\ \ \ 3x-y=14$

Dafna1 [17]2 years ago

4 0

$The\ standard\ form:Ax+By=C\\\\=================\\\\y=3x-14\\\\3x-14=y\ \ \ \ \ \ |add\ 14\ to\ both\ sides\\\\3x=y+14\ \ \ \ \ \ |subtract\ y\ from\ both\ sides\\\\3x-y=14$

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What is an equation of the line that passes through the points (-4,1) and (4,4)?

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y = $\frac{3}{8} x + \frac{5}{2}$

Step-by-step explanation:

☆Remember: $m = \frac{y_2 - y_1}{x_2 - x_1}$

☆Remember: Slope-intercept form -> y = mx + b

☆Now. We first need to find the slope.

$m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8}$

☆Now the y-intercept.

$y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b }$