Question

Find the equation for the line that passes through the point (1,3), and that is perpendicular to the line with the equation y + 3 = -1/4(x-2)

Answer 1

Step-by-step explanation:

the slope of a line function is always the factor of x.

in our case : -1/4

it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.

in our case y decreases by 1 for every x increase by 4.

now, the perpendicular slope simply changes x and y upside-down and flips the sign.

in our case it is : 4/1 = 4

so, the line function in point slope form is then (using the new slope and the point coordinates)

y - 3 = 4(x - 1)