6.
A line passes through (–7, –5) and (–5, 4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

6 A line passes through 7 5 and 5 4 a Write an equation for the line in pointslope form b Rewrite the equation in standard form using integers class=
6 A line passes through 7 5 and 5 4 a Write an equation for the line in pointslope form b Rewrite the equation in standard form using integers class=
6 A line passes through 7 5 and 5 4 a Write an equation for the line in pointslope form b Rewrite the equation in standard form using integers class=
6 A line passes through 7 5 and 5 4 a Write an equation for the line in pointslope form b Rewrite the equation in standard form using integers class=

Respuesta :

Answer:

b. y + 5 = 9/2 ( x + 7 ) ;   - 9 x + 2 y = 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

Answer:

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