Question

How do you write the equation in slope intercept form given (0, 8) with a slope of -2/3?

Answer 1

`y = -2/3 x +8`

Explanation:

This is easiest equation to find because all the information you need is given.
The slope is stated as such. `m = -2/3`

The point that is given is actually the y-intercept because the x-co-ordinate is 0. so,

`c = 8`

Plug the values into `y = mx + c " to get "` y = -2/3 x +8#

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If any other point is given and you know the slope, there is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

Using this formula requires only ONE step with substitution and some easy simplifying. Works like a dream...

`y-y_1 = m(x-x_1)" m = slope and "(x_1,y_1)" is a point"`

Substitute the given values and simplify.