5.) Write the equation (in standard form) of the line that passes through (-1,-5) and perpendicular to 2x + y = 7.

Answer 1

(y+5)/(x+1) =1/2

y+5 = (1/2)(x+1) are point slope forms

y=x/2 -9/2 is slope intercept form

the slope of a perpendicular line is the negative inverse of -2. change the sign and flip it upside down to get +1/2 which equals change in y coordinates over change in x coordinates

(-1/2)x + y = -9/2 is standard form

or if you want to eliminate fractions

-x + 2y =-9