30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5
A. y+7= 4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x+7
D. y+9=4/5(x-7)
Please I need help. Dx
What's the problem here?
Equation of straight line in the point-slope form:
y − y1= m ( x − x1 )
In this case:
m = 4 / 5 , x1 = - 7 , y1 = 9
y − 9 = ( 4 / 5 ) [ x − ( - 7 ) ]
y − 9 = ( 4 / 5 ) ( x + 7 )
To write an equation in point-slope form, we need the following information:
1. The coordinates of a point on the line.
2. The slope of the line.
Given: (-7,9) and m = 4/5.
The point-slope form equation is:
y - y1 = m(x - x1),
where (x1, y1) are the coordinates of the given point, and m is the slope.
Substituting the values into the equation:
y - 9 = (4/5)(x - (-7)).
Simplifying:
y - 9 = (4/5)(x + 7).
Now, we need to rearrange the equation options to match our equation:
A. y+7= 4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x+7)
D. y+9=4/5(x-7)
Comparing each option to our equation, we notice that option C matches our equation:
y - 9 = (4/5)(x + 7).
Therefore, the correct answer is option C.