Math  /  Algebra

Question4) 5x3y15=05 x-3 y-15=0

Studdy Solution

STEP 1

1. The given equation is a linear equation in two variables, xx and yy.
2. The task is to find the slope-intercept form of the equation, which is y=mx+by = mx + b, where mm is the slope and bb is the y-intercept.

STEP 2

1. Isolate the yy variable.
2. Simplify the equation to the slope-intercept form.
3. Identify the slope and y-intercept.

STEP 3

Start with the given equation:
5x3y15=0 5x - 3y - 15 = 0
To isolate yy, first move the terms involving xx and the constant to the other side of the equation:
3y=5x+15 -3y = -5x + 15

STEP 4

Divide every term by 3-3 to solve for yy:
y=53x5 y = \frac{5}{3}x - 5
Now, the equation is in the slope-intercept form y=mx+by = mx + b.

STEP 5

Identify the slope and y-intercept from the equation y=53x5y = \frac{5}{3}x - 5:
- The slope mm is 53\frac{5}{3}. - The y-intercept bb is 5-5.
The slope of the line is 53\frac{5}{3} and the y-intercept is 5-5.

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