Answer:
y = [tex]\frac{5}{3}x-1[/tex]
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph attached,
Since, the given line passes through (0, -1) and (3, 4),
Slope 'm' = [tex]\frac{4+1}{3-0}[/tex]
m = [tex]\frac{5}{3}[/tex]
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = [tex]\frac{5}{3}x-1[/tex]
