Question

Write an equation in slope intercept form for the line with slope negative three fourths and y intercept of negative one

Answer 1

The slope intercept form is
`y=-(-3x)/(4)-1`.

Solution:

Given data: slope =
`-(3)/(4)` and y-intercept = –1

y-intercept means (x, y) = (0, –1)

Equation of a line for slope intercept form:
`y-y_1=m(x-x_1)`

Here,
`x_1=0, y_1=-1` and
`m=-(3)/(4)`.

⇒
`y-(-1)=(-3)/(4) (x-0)`

⇒
`y+1=(-3)/(4) (x)`

Do cross multiplication.

⇒
`4(y+1)=-3x`

⇒
`4y+4=-3x`

⇒
`4y=-3x-4`

Divide both sides of the equation by 4.

⇒
`y=-(-3x)/(4)-(4)/(4)`

⇒
`y=-(-3x)/(4)-1`

Hence the slope intercept form is
`y=-(-3x)/(4)-1`.