Question

Write the equation of the line in fully simplified slope-intercept form.

y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6 -5 -4 -3 -2 21
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-10
-11

Answer 1

y = ⁴/3x - 7

Explanation:

✔️First, find the slope (m):

Slope (m) = ∆y/∆x = 4/3

m = ⁴/3

✔️Determine the y-intercept (b):

The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.

b = -7

✔️Write the equation:

Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).

y = ⁴/3x + (-7)

y = ⁴/3x - 7