Explanation: The general form of the equation of the linear line is: y = mx + c where: m is the slope c is the y-intercept
1- getting the slope: We know that our line is perpendicular to the line y = -4x This means that: m₁ * m₂ = -1 m₁ * -4 = -1 m₁ = 1/4 The equation now becomes: y = (1/4) x + c
2- getting the y-intercept: Since we are not given any points that belong to the line or any conditions regarding the value of the c, therefore, we can simply assume that the y-intercept is zero
Based on the above, the equation of the line is: [tex]y= \frac{1}{4} x[/tex]
