What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, −1)? y = x − y = x − y = 3x − 3 y = 3x − 7

Given line: y =3x - 7

Slope-intercept form is y = mx + b where m is slope and b is the y intercept

To find m you must take the slope of the line given, which would be 3, and take its opposite reciprocal (switch its sign to negative/positive if it was originally positive/negative and flip the numerator and denominator)

the opposite of 3 is -3 and the reciprocal of -3 is

This means that the slope of a line perpendicular to y = 3x - 7 is

This is the current formula you found:

To find the y-intercept (b) in the point that this line goes through (2, -1) into the x and y of the equation and solve for b

-1 = (2) + b

-1 = + b

= b

That means that the equation perpendicular to y = 3x - 7 is...

y =

Hope this helped!

~Just a girl in love with Shawn Mendes

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

i am unable to solve this problem

step-by-step explanation: