Answer: option C
y = - x/2 + 1
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
Looking at the table given,
y2 = - 1
y1 = 2
x1 = - 2
x2 = 4
Slope, m = (-1 - 2)/(4 - - 2) = - 3/6 = -1/2
To determine the intercept, we will substitute m = - 1/2, y = 2 and x = - 2 into y = mx + c. It becomes
2 = -1/2× - 2 + c
2 = 1 + c
c = 2 - 1 = 1
The equation becomes
y = - x/2 + 1
