Answer:
y = -4x + 5
Explanation:
Slope of the line passing through
and
is represented by,
m =
![(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kb22fsdtkimrfbfy51hnyncxhdjkkxel3s.png)
Given line in the graph is passing through two points (0, 5) and (2, -3),
m =
= (-4)
Equation of the line passing through
and slope m will be,
![y-y_1=m(x-x_1)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ks7lzc9jj3emt3ptrdvrvr0uzhz4c0qyo5.png)
Therefore, equation of the line passing through (0, 5) and slope = -4 will be,
y - 5 = -4(x - 0)
y - 5 = -4x
y = -4x + 5