Question

Find the equation of the line given the following information. Write the

answer in slope-intercept form if possible.
The slope is -2/3 and they-intercept is (0, -2).

Answer 1

In order to write an equation in a slope-intercept form (y = mx + b), you need both a slope "m" and a y-intercept "b" for linear graphs.

The question supplies you with a slope of -2/3 and an intercept of (0, -2).

y = mx + b

m = -2/3 (slope)

b = -2 (y-intercept).

As a result, you can plug in the values into the equation.

y = (-2/3) + (-2)

`y = (-2)/(3) -2`

Answer 2

Slope - Intercept

Simply defined, slope-intercept is the most common way of writing the equation of a straight line. The format of slope intercept is y = mx + b.

Where:

• m = slope
• b = y-intercept

Straight lines look like this:

`\setlength{\unitlength}{2.5mm}\begin{picture}(10,10)\linethickness{0.45mm}\put(20,20){\vector(2,0){18}}\put(20,20){\vector(-2,0){18}}\put(20,20){\vector(0,2){18}}\put(20,20){\vector(0,-2){18}}\multiput(19.35,6)(0,2){16}{\line(1,0){1.3}}\multiput(6,19.35)(2,0){16}{\line(0,1){1.3}}\put(20,20){\circle*{1}}\qbezier(20,20)(20,20)(34, 35) \qbezier(8,5)(8,5)(20.8, 20.9)\end{picture}`

Now, we're given that the y-intercept is (0, -2), so the number that goes in for b is -2. So now we're ready to plug in the data!

Remember, we're plugging into y = mx + b.

`\sf{y=-(2)/(3)x+(-2)}`

`\sf{y=-(2)/(3)x-2}`

Hence, the equation is
`\sf{y=-(2)/(3)x-2}`.

`\rule{350}{4}`

`\frak{-Dream-}`