Question

Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10

Answer 1

`y = 5x-15`

Explanation:

Parallel ⇒ So the slopes will definitely be equal

So,

Slope = m = 5

Now,

Point = (x,y) = (4,5)

So, x = 4, y = 5

Putting these in the slope intercept form to get b

`y = mx +b \\`

5 = (5)(4) + b

5 = 20 + b

b = -20+5

b = -15

So, Putting m and b in the slope intercept form to get the required equation,

`y = 5x-15`