Mathematics, 12.10.2020 19:01 emmmmmmaaaa

What is the y - intercept of the line perpendicular to 5x - 3y = 8 through the point (-5, 2)?

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Answer from: hannahbannana98

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We have to first find the slope of the given line. To do that we must write the given line to slope-intercept form.

5x - 3y = 8

Subtract the sides of the equation minus 5x :

$- 3y = 8 - 5x \\ - 3y = - 5x + 8$

Divided the sides of the equation by -3 :

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

We know that the slope-intercept form of the linear functions is like this :

$y = a \: x + b$

Where a is the slope and b is width of origin.

So the slope of the given line is 5/3.

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STEP (2)

The slopes of two lines perpendicular to each other are symmetrical and inverse to each other.

In other words, the product of the slopes of two lines perpendicular to each other is -1 .

So :

$\frac{5}{3} \times (t) = - 1 \\$

Divided the sides of the equation by 5/3 :

$\frac{ \frac{5}{3} }{ \frac{5}{3} } \times t = \frac{ - 1}{ \frac{5}{3} } \\ \\ t = - \frac{3}{5}$

((t)) is the slope of the line which we want to find.

_________________________________

STEP (3)

We have this equation to find the slope-intercept form of the linear functions :

$y - y(given \: point) = (slope) \times ( \: x - x(g \: p) \: ) \\$

Now Just need to put the slope and the given point in the equation:

given point = ( -5 , 2 )

slope = -3/5

$y - 2 = - \frac{3}{5}(x - ( - 5)) \\ y - 2 = - \frac{3}{5}(x + 5) \\ y - 2 = - \frac{3}{5}x - 3 \\$

Subtract the sides of the equation plus 2 :

$y = - \frac{3}{5}x - 1 \\$

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

Answer from: Quest

the correct answers i think are b. and d.

give me brainliest if it is correct!

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