Write the equation of a line that is perpendicular to the given line and that passes through the given point. 2x + 4y = -6; (2,5)

y = 2x + 1

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 )

rearrange 2x + 4y = - 6 into this form

subtract 2x from both sides

4y = - 2x - 6 ( divide all terms by 4 )

y = - x - ← in slope-intercept form

with slope m = -

the slope of the perpendicular line is the negative reciprocal of m

= 2

y = 2x + c ← is the partial equation

to find c substitute (2, 5) into the partial equation

5 = 4 + c ⇒ c = 5 - 4 = 1

y = 2x + 1 ← equation of perpendicular line

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1