Answer:
y = 2x - 7
Step-by-step explanation:
To find the line equation we assume that its form is y = m*x + b. Where m is the slope and b is the independent variable that intercepts the Y axis.
If we have two points as P1=(x1,y1) and P2=(x2,y2) we can use the slope formula as:
m = (y2-y1)/(x2-x1)
The points given are P1=(7,7) and P2=(2,-3), then the using the slope formula we obtain:
m = (-3-7)/(2-7)
m = (-10)/(-5)
m = 2
By now the equation is y = 2x + b. To find the value of b we have to replace in the equation any point, in this case i am using P2:
-3 = 2*(2) + b
-3 = 4 + b
-3 -4 = b
-7 = b
Therefore the equation of the line is:
y = 2x - 7
