Find the slope and y-intercept of the line 4x-3y=9

Answer 1

The Slope is often denoted by the letter m; in the equation of a straight line as "y = mx + b" or "y = mx + c"

So what you need to do it is just to "convert" the given equation, thus;

step by step:

(1) 4x - 3y = 9

(2) 3y = 9 - 4x

(3) y = 9/3 - 4/3x

(4) y = -4/3x + 3 => rearrenging the equation...

So, the slope m = -4/3.



To find the point where the line intercepts the X axis; the y value = 0.

then, step by step

(1) 0 = -4/3x +3

(2) -4/3x = -3

(3) 4/3x = 3

(4) 4x = 9 => x = 9/4,

Now, for the Y axis case the same concept applies, so X = 0 then replacing this value in the equation, we have:

y = -4/3(0) + 3

y = 0 + 3 => y = 3.

Answer 2

The way it was originally written, in standard form, that equation doesn't give you too much information about the slope or intercept. If you want to determine the slope and y-intercept of 4x - 3y = 9, you should rewrite it in slope-intercept form, which is a way of writing linear equations that easily shows you the slope and the intercept. To do this, you should get y by itself on one side. What do you get once you do that?