Answer:
y = 3x + 4
Step-by-step explanation:
The line passes through points (-3, -5) and (0, 4)
The slope of the line = change in y-axis ÷ change in x-axis
i.e the slope = [tex]\frac{4 - -5}{0 - -3}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Taking another point (x, y) on the line,
The slope = [tex]\frac{y - 4}{x - 0}[/tex] = 3
Simplifying the equation above gives;
y - 4 = 3x
y = 3x + 4 (equation of the line)
