Write an equation in point-slope form for the line through the given point with 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)
just plug in the numbers to the formula. Clearly you get (C).
To write the equation of a line in point-slope form, you need to know the slope (m) and a point on the line (x₁, y₁).
In this case, the point is (-7,9) and the slope is 4/5.
The point-slope form of a linear equation is: y - y₁ = m(x - x₁)
Substituting the values, we get:
y - 9 = (4/5)(x - (-7))
Simplifying the expression:
y - 9 = (4/5)(x + 7)
Now, let's distribute the (4/5) to (x + 7):
y - 9 = (4/5)x + (4/5)(7)
y - 9 = (4/5)x + 28/5
Finally, let's rearrange the equation to match the answer choices:
y = (4/5)x + 28/5 + 9
y = (4/5)x + 28/5 + 45/5
y = (4/5)x + 73/5
Therefore, the equation in point-slope form for the line through the given point with given slope is:
C- y-9=4/5(x+7)