Question

Write the slope-intercept form of the equation of the line passing through the point (4, -1) and perpendicular to the line y = 2x +2

Answer 1

The given line has an equation y = 2x + 2

Comparing the equation above to y = mx + c

where m stands for the slope and c stands for the y-intercept

m = 2

c = 2

The equation of the line perpendicular to the equation y = mx + c and passing through the point (x₁, y₁) is given by:

`y-y_1=(-1)/(m)(x-x_1)`

The line is passing through the point (4, -1).

That is, x₁ = 4, y₁ = -1

Substitute the values of m, x₁, and y₁ into the equation above: