Question

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

Answer 1

y + 1 = 5(x - 1)

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

Answer 2

y + 1 = 5(x - 1)

Explanation:

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 5x → m = 5.

The point-slope form:

`y-y_1=m(x-x_1)`

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

`y-(-1)=5(x-1)\\\\y+1=5(x-1)`