Question

Write the equation in slope-intercept form.y=2(5x + 1) + 3(5x + 3)

Answer 1

The slope intercept form of an equation is given by,

`y=mx+c\text{ ---(1)}`

Here, m is the slope and c is the y intercept.

The given equation is,

`y=2\mleft(5x+1\mright)+3\mleft(5x+3\mright)`

Apply distributive property (A[B+C]= AB+BC) in the above equation to make it to the form of equation (1).

`\begin{gathered} y=2*5x+2*1+3*5x+3*3 \\ y=10x+2+15x+9 \end{gathered}`

Now, combine the like terms.

`\begin{gathered} y=10x+15x+2+9 \\ y=25x+11\text{ ---(2)} \end{gathered}`

Equation (2) is in the form of equation (1).

Therefore, the slope-intercept form of y=2(5x + 1) + 3(5x + 3) is,

y=25x+11.