Question

Find the slope and y intercept of the line that passes through (2,8)(10,20)

Answer 1

Use the equation y=mx+c
The slope of the line through points (x1,y1) and (x2,y2) is given by :
\(\huge m=\frac{y_1-y_2}{x_1-x_2}\)
now,just put the values and first find m.

Answer 2

Ok so I got 1.5 for m

Answer 3

correct! m= 1.5 or 3/2
now, you have y= 1.5x+c
and a point on it , say lets take 2,8
so plug in x=2,y=8 in y=1.5x+c
and find c= ...
which is your y-intercept.

Answer 4

c=2.6

Answer 5

So how do I get my y intercept

Answer 6

So my slope is 1.5 and y intercept 2.6

Answer 7

plug in x=2,y=8 in y=1.5x+c
8= 1.5(2)+c ----> c= 8-3=5
c=5= y-intercept.

Answer 8

ok so slope 1.5 and y intercept is 5

Answer 9

yes, correct.

Answer 10

thank you

Answer 11

welcome ^_^