Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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)

Sagot :

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)