Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)?

y = 2x/5 - 6

Step-by-step explanation:

1) Rerrange and simplify eqation for simplicity

y = 5x/2 + 3

2) Perpindicular lines have inverse slopes (proof not shown so look it up if you require this)

m = 2/5

3) Construct base new equation

y = mx + d

4) Sub in in point and slope to solve for unknowns

-4 = (2/5)(5) + d

-4 = 2 + d

d = -6

5) Sub in known

y = 2x/5 - 6

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.

=

x=0.8898305 is the answer to that equation