Answer:
The equation of the line is y = 3x - 1 ⇒ b
Step-by-step explanation:
From the given graph
∵ The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
∵ (x1, y1) and (x2, y2) are two points on the line
∵ The line passes through points (0, -1) and (1, 2)
∴ x1 = 0 and y1 = -1
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope to find it.
∵ m = [tex]\frac{2--1}{1-0}[/tex] = [tex]\frac{2+1}{1}[/tex] = [tex]\frac{3}{1}[/tex]
∴ m = 3
∵ The line intersects the y-axis at point (0, -1)
∴ The y-intercept = -1
∵ The form of the equation of the line is y = m x + b
∵ b is the y-intercept
∴ b = -1
→ Substitute the values of m and b in the form of the equation
∵ y = 3x + -1
∴ y = 3x - 1
∴ The equation of the line is y = 3x - 1
