Question

Question 6 Multiple Choice Worth 5 points)

(04.07A LC)
Which equation does the graph below represent?
20
16
12
8
4
1
2
3
5
-5 -4 -3 -2 -1 0
4
-8
-12
-16
-20
y = a + x
y = 1 X
y = 4 + x
y = 4x

Answer 1

The equation of the graph is;

y = 4·x

Explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

`Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))`

Therefore, by substitution of the values, we have;

`Slope, \, m =(8-(-12))/(2-(-3)) = (8 + 12)/(2 + 3) =(20)/(5) = 4`

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.