QuestionRewrite the following equation in slope-intercept form. $10 x-5 y=19$
竣, Write your answer using integers, proper fractions, and improper fractions in simplest form.

Studdy Solution

STEP 1

1. The equation given is in standard form: $Ax + By = C$ .
2. We need to convert it to slope-intercept form: $y = mx + b$ .

STEP 2

1. Isolate the $y$ -term on one side of the equation.
2. Solve for $y$ to express it in terms of $x$ .

STEP 3

Start with the given equation:
$10x - 5y = 19$
Subtract $10x$ from both sides to isolate the $y$ -term:
$-5y = -10x + 19$

STEP 4

Divide every term by $-5$ to solve for $y$ :
$y = \frac{-10x}{-5} + \frac{19}{-5}$
Simplify the fractions:
$y = 2x - \frac{19}{5}$
Now the equation is in slope-intercept form, where the slope $m = 2$ and the y-intercept $b = -\frac{19}{5}$ .

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