Answer:
y = -2x + 7
Step-by-step explanation:
The point-slope form of the equation of a line is:
y - k = m ( x - h )
Where m is the slope and (h,k) is a point through which the line passes.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the point (3,1) and (7,-7), calculate the slope:
[tex]\displaystyle m=\frac{-7-1}{7-3}[/tex]
[tex]\displaystyle m=\frac{-8}{4}=-2[/tex]
m = -2
No
w we use any of the given points: (3,1) and substitute in the equation of the line:
y - 1 = -2 ( x - 3 )
Multiplying:
y - 1 = -2x + 6
Adding 1:
y = -2x + 7
