a line passes through the point (3, -5) and has a slope of 7. which of the following is the correct point- slope form of the equation of the line and why? a.y+5= 7(x-3) b. y-5= 7(x+3) c. y+5= 7(x+3) d. y-5= 7(x-3)
(y+5)/(x-3) = 7
y+5 = 7(x-3)
To find the correct point-slope form of the equation of a line, we need to use the given slope (m) and a point on the line (x₁, y₁).
Given information:
Slope (m) = 7
Point (x₁, y₁) = (3, -5)
The point-slope form of the equation of a line is given by:
y - y₁ = m(x - x₁)
Using the given information, we can substitute the values into the equation to find the correct form.
Substituting into the equation:
y - (-5) = 7(x - 3)
y + 5 = 7(x - 3)
Therefore, the correct point-slope form of the equation of the line is:
y + 5 = 7(x - 3)
So, the answer is option a) y + 5 = 7(x - 3).