using point,P1 on red line
(, )
and the given slopes of blue line m₂ =

Calculate the slope of red line
m₁ = for two perpendicular lines the first slope is equal to the negative reciprocal of the second slope. Then substitutes its values in Equation 1

Two lines perpendicular to each other is also called in mathematics as orthogonal lines. In statistics, when input variable is perpendicular or orthogonal to the output variable it means the two variables are independent to each other there is no correlation. The input variable can't be used to predict the output variable.

✅ Orthogonal = No linear relationship. In a linear model, an orthogonal input variable cannot help predict the output. In a scatterplot, the best-fit line would be perfectly flat (slope 0). In high-dimensional space. If the angle between the input variables and output is 90° their dot product = 0.

Formula Recall of slope and y-intercept

y = mx + b ; where b - is the y-intercept ----- equation 1

y₁ =

m₁ * x₁ + b

b = y - intercept , when x = 0

ANSWER, y = x + ; written in slope form is the equation of red line.