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Answered

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9.
A line passes through (–7, –5) and (–5, 4).Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers.
A. y + 5 = 9/2(x – 7); –9x + 2y = 53
B. y – 5 = 9/2(x + 7); –9x + 2y = –53
C. y + 7 = 9/2(x + 5); –9x + 2y = 31
D. y + 5 = 9/2(x + 7); –9x + 2y = 53

Sagot :

B. The equation of the line in standard form is
y
=
9
2
x
+
53
2
.
or
2
y
=
9
x
+
53
or
9
x
−
2
y
=
−
53
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Answer:

D. y + 5 = 9/2(x + 7); –9x + 2y = 53

Step-by-step explanation:

The equation:

y - y 1 =  ( y2 - y1 ) / ( x2- x1) * ( x - x1 )

y - ( - 5 ) = ( 4 + 5 ) / ( - 5 + 7 ) * ( x - ( - 7 ) )

y + 5 = 9/2 ( x + 7 )

y + 5 = 9/2 x + 63 /2  / * 2

2 y + 10 = 9 x + 63

- 9 x + 2 x = 53

Answer:

C ) y + 5 = 9/2 ( x + 7 ) ;   - 9 x + 2 y = 53

Option C is correct

Step-by-step explanation:

Point slope form:

The equation of line is given by:

    ....[1] where m is the slope and a point  lies on the line.

Given that:

A line passes through (-7,-5) and (-5,4).

Calculate  slope:

Slope is given by:

Substitute the given values we have;

Simplify:

Substitute thee value of m and (-7, -5) in [1] we have;

Simplify:

⇒

Using distributive property :

Subtract 9x from both sides we have;

Subtract 10 from both sides we have;

Therefore, an equation for the line in point-slope form is  and the equation in standard form using integers is

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