Question

What is the slope-intercept of (-4,-5) and slope is 1/2

Answer 1

We are given a set of coordinates which are;

`(-4,-5)`

And the slope which is;

`(1)/(2)`

The equation of a line in slope-intercept form is;

`y=mx+b`

Note that in this equation, the variable m is the slope (that is, the coefficient of x). we can now substitute for x, y and m into the equation above and we'll have;

`\begin{gathered} y=mx+b \\ \text{Where,} \\ x=-4,y=-5,m=(1)/(2) \\ -5=(1)/(2)(-4)+b \\ -5=-2+b \\ \text{Add 2 to both sides of the equation;} \\ -3=b \end{gathered}`

We now have the values of the slope and the y-intercept as

`m=(1)/(2),b=-3`

The equation now can be written as;

`\begin{gathered} y=(1)/(2)x+(-3) \\ y=(1)/(2)x-3 \end{gathered}`

ANSWER:

`\begin{gathered} m=(1)/(2) \\ b=-3 \\ \text{Equation;} \\ y=(1)/(2)x-3 \end{gathered}`