Write an equation for l in point slope form l is parallel to y=5x. points (1,-1)

Step-by-step explanation:

The slope-intercept form:

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 5x → m = 5.

The point-slope form:

We have the slope m = 5 and the point (1, -1). Substitute:

y + 1 = 5(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x with slope m = 5

• Parallel lines have equal slopes

for line L with m = 5 and (a, b) = (1, - 1) then

y + 1 = 5(x - 1) ← in point- slope form

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15