Question

express the following equation in slope intercept form 10y - 3x + 6 = 11
a y = 3/10 x + 1/2
b 10y = 3x + 5
c y = -3/10 x + 5
d -3x + 10y = 5

Explanation:

Step1: Isolate the term with y

First, start with the equation \(10y - 3x+6 = 11\). Add \(3x - 6\) to both sides of the equation.
\(10y=3x + 11- 6\)

Step2: Simplify the right - hand side

Simplify \(11 - 6\) to get \(5\). So, \(10y=3x + 5\).

Step3: Solve for y

Divide both sides of the equation \(10y=3x + 5\) by \(10\).
\(y=\frac{3}{10}x+\frac{5}{10}=\frac{3}{10}x+\frac{1}{2}\)

Answer:

A. \(y = \frac{3}{10}x+\frac{1}{2}\)