Answer:
The equation y = -6x + 1 represents the line ⇒ A
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
∵ The line passes through points (1, -5) and (3, -17)
∴ x1 = 1 and y1 = -5
∴ x2 = 3 and y2 = -17
→ Substitute them in the rule of the slope to find it
∵ m = [tex]\frac{-17--5}{3-1}[/tex] = [tex]\frac{-17+5}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = -6
∴ m = -6
→ Substitute it in the form of the equation above
∴ y = -6x + b
→ To find b substitute x by 1 and y by -5 in the equation
∵ -5 = -6(1) + b
∴ -5 = -6 + b
→ Add 6 to both sides
∴ 1 = b
→ Substitute it in the equation
∴ y = -6x + 1
∴ The equation y = -6x + 1 represents the line
