Question

The line passes throught the point (-4,-20) and has a slope of 3

Answer 1

Answer: y = 3x - 8

Explanation:

To find the line that passes through the point (-4,-20) and has a slope of 3 we have to find the equation of the line or the slope-intercept: y = mx + b.

To do this we use the given information in put it into the point-slope formula
`y-y_(1) =m(x-x_(1) )` to find the slope intercept.

m = slope (-4,-20) (x,y)

`y+20 =3(x+4 )`

`y+20 =3x+12\\-20=-20\\y=3x-8`subtract 20 on both sides to leave y by itself

So our slope intercept is y = 3x - 8. Now to draw that line we start with the plot of our y-intercept which is -8 (0,-8).

Then we use the
`(rise)/(run)` method of our slope to plot our next points. Since our slope is 3 we convert it into
`(3)/(1)`.

From (0,-8) we go up 3 units and right 1 unit until we have enough points to draw our line.

(0,-8)

(1,-5)

(2,-2)

(3,1)

Now we can draw our line