Respuesta :
Answer:
y = -4X + 8
Step-by-step explanation:
Take each point and substitute for x and y. If (x,y) then 4 = -4(1) + 8 is true and -4 = -4(3) + 8. Both points satisfy the equation therfore the line passes through both points.
Answer:
y = -4 x + 8
which agrees with the first answer in the list.
Step-by-step explanation:
We first calculate the slope via the quotient formula:
Slope = (y2 - y1) / (x2 - x1)
which for our case gives:
Slope = (4 - -4) / (1 - 3) = 8 / (-2) = -4
The we calculate the y intercept by using any one of the given points (for example (1, 4)) in the general formula of a line in slope-intercept form:
y = m x + b
y = -4 x + b
4 = -4 (1) +b
4 = -4 + b
b = 4 + 4
b = 8
Then the final expression for the line becomes:
y = -4 x + 8