Answer:
y – 4 = 3(x + 7)
Step-by-step explanation:
The general formula of an equation of a line
in point-slope form is :
y – y₁ = m(x – x₁)
Where m is the slope and (x₁ , y₁) is a point of the line.
NOTE : in order to write an equation of a line in point-slope form ,we just need two things, the slope value and a point that the line passes through.
Conclusion:
an equation in point-slope form of the line that passes through (−7,4) and has as a slope m=3 is :
y – 4 = 3(x – (-7))
Which simplifies to :
y – 4 = 3(x + 7)