Question

Write an equation for the line that passes through the given point
1. (4,-1), (0.5)

Answer 1

Equation - F(x)= -x+5
Use the formula
y2-y1 5-1 4
--------- --------- ------ M = -1
X2-x1 0-4 -4


than Calculate the y-axis intercept(B) by using f(x)=mx+b
Insert -1 for m, 4 for x and 1 for f(x).

1=-1*4+1*b | Swap both sides of the equation.
1*b+-4=1 | +4
1*b=5

So, the y-axis intercept is at 5
Therefore, the equation of the function is f(x)=-x+5