Answer:
y = -4x + 5
Step-by-step explanation:
Slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Given line in the graph is passing through two points (0, 5) and (2, -3),
m = [tex]\frac{5+3}{0-2}[/tex] = (-4)
Equation of the line passing through [tex](x_1,y_1)[/tex] and slope m will be,
[tex]y-y_1=m(x-x_1)[/tex]
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