rewrite the following standard form linear equation into slope - intercept form. write the answer starting…

rewrite the following standard form linear equation into slope - intercept form. write the answer starting with y=\n2x + 4y = 10

rewrite the following standard form linear equation into slope - intercept form. write the answer starting with y=\n2x + 4y = 10

Answer

Explanation:

Step1: Isolate the y - term

Subtract 2x from both sides of the equation (2x + 4y=10). We get (4y=-2x + 10).

Step2: Solve for y

Divide each term in the equation (4y=-2x + 10) by 4. So (y=\frac{-2x}{4}+\frac{10}{4}).

Step3: Simplify the fractions

Simplify (\frac{-2x}{4}) to (-\frac{1}{2}x) and (\frac{10}{4}) to (\frac{5}{2}). Then (y =-\frac{1}{2}x+\frac{5}{2}).

Answer:

(y =-\frac{1}{2}x+\frac{5}{2})