Question

Write the slope-intercept form of the equation of each line.3) 10 = -2y-x

Answer 1

Recall that the slope-intercept form of the line equation is of the form y=mx+b, where m is the slope and b is the y-intercept.

To transform the equation 10=-2y-x into the slope-intercept form we should apply algebraic operations so we isolate the y on one side of the equation.

Let's add x on both sides, we get

`-2y=10+x`

Now, lets divide by -2 on both sides, we get

`y=(10)/(-2)+(x)/(-2)=-(1)/(2)\cdot x-5`

we see that this now has the slope-intercept form, where the slope is m=(-1/2) and b=-5