Question

Write an equation in slope-intercept form (y = mx + b).

Parallel to 3x + 5y = 18 passing through (-10, -4).

Answer 1

y=
`(-3)/(5)x -2`

Explanation:

find the gradient by rearranging the equation, y=
`(-3)/(5)x` +
`(18)/(5)`

from here we can see that the slope or gradient is
`(-3)/(5)x`

now using the equation y-y2 = f'(x1)(x-1) we find the equation by subbing

= y- (-4) =
`(-3)/(5)` (x - [-10])

= y + 4 =
`(-3)/(5)x -6`

= y=
`(-3)/(5)x -2`