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
