Answer:both students are incorrect
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
Slope = (y2 - y1)/(x2 - x1)
y2 = 1
y1 = 4
x2 = 6
x1 = - 3
Slope = (1 - 4)/(6 - -3) = -3/9 = -1/3
To determine the intercept, we would substitute m = -1/3, x = 6 and y = 1 into y = mx + c. It becomes
1 = -1/3 × 6 + c = -2 + c
c = 1 + 2 = 3
The equation becomes
y = -x/3 + 3
If the equation was written in the slope intercept form which is expressed as
y - y1 = m(x - x1)
It becomes
y - 4 = -1/3(x - - 3)
y - 4 = -1/3(x + 3)
Both students are incorrect
