What is the slope intercept of a line perpendicular to the line y=2x+3 with the point (-2,-4)

y = - x - 5

Step-by-step explanation:

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 2x + 3 is in this form with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

= - = -

y = - x + c ← is the partial equation

To find c substitute (- 2, - 4) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = - x - 5 ← equation of perpendicular line

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

m a t h w a y. c o m

step-by-step explanation: