Question

14. Write the equation in slope-intercept form that passes through the two points.

(1, 2) and (3,-8) ​

Answer 1

let (x1,y1)=(1, 2)

and(x2,y2)=(3,-8)

Explanation:

we have

y-y1=(y2-y1)(x-x1)/(x2-x1)

y-2=(-8-2)(x-1)/(3-1)

y-2=-10(x-1)/2

y-2=-5(x-1)

y-2=-5x--5

y+5x=5+2

• 5x+y=7 is the required equation.

note :-×-=+

Answer 2

Answer: y=5x+7

Explanation:

If you draw a graph or use a graphing calculator the points and then connect them you will see that the y-intercept is 7 and the slope is 5/1. Slope intercpt form is y=mx+b. So the equation is y=5x+7.