Question

-2x+y=3-x+4y=12 Please i need The slope and The y-intercept

Answer 1

we are given the following equation

`-2x+y=3`

We are asked to find the slope and the intercept of the equation. Let's first remember the slope-intercept form of a linear equation, that is:

`y=mx+b`

where "m" is the slope and "b" the intercept. So, we have to solve for "y" in our equation in order to find the slope and the intercept.

We will first add 2x on both sides of the equation:

`\begin{gathered} -2x+y=3 \\ -2x+y+2x=3+2x \\ y=3+2x \end{gathered}`

That that we solved for "x", we notice that the slope "m" is the number that multiplies the variable "x", that is 2, and the intercept "b" is the constant, that is 3. Therefore, the slope is 2, and intercept 3.