Mathematics, 16.07.2019 14:00 andyboehm7411

Identify an equation in point-intercept form for the line parallel to y = -3x + 7 that passes through (2, -4)

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Answer from: Jasten

Let's organize.
The question says to identify an equation in point-intercept form for the line that's parallel to y = -3x + 7 that passes through (2, -4).

If you need to find an equation in point-intercept form that passes through a point, you will substitute the coordinate in this formula:

-> y - yo = m (x - xo)

Where:

(2, -4) -> xo = 2 ; yo = -4
m = Slope

You don't have the slope, but you have the information that the line is parallel to y = -3x + 7. Then you need to know that to a line be parallel to another the Slopes of each other must be equal, mr = ms.

Let's find the slope of the equation given, it is in a slope-intercept form, so:

y = mx + b

R: y = -3x + 7 // I will call this one R line, and the other S.

mr = -3

If the mr = ms, and mr = -3, then the ms = -3 too.

S: y - yo = ms (x - xo) // (2, -4) & ms = -3

-> y - (-4) = -3 (x - 2)
-> S: y + 4 = -3 (x - 2) -> This is the point-slope form.

-> y = -3x + 6 - 4
-> S: y = -3x - 2 -> This is the slope-intercept form.

I didn't understand what is the point-intercept form that the question requests, but by logic, i think that's the point-slope form.

The equation in point-intercept form is: y + 4 = -3 (x - 2).

Answer from: Quest

coins of silver or gold

step-by-step explanation:

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

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