How can I write 3,2 and 0,1 in slope intercept form?

Question

I need help. I don't understand math

 

Answer 1

Hi Elijah,

You can solve as already explained by 2 responders.

Alternatively simply draw a rough picture. The editor here does not allow drawing of lines. Otherwise I would have included the graphics as well.

(0, 1) is a point on y axis. Hence the intercept b = 1 by inspection.

(3,2) is the other point. slope m = height / length = (2 - 1) / (3 - 0) = 1 / 3

The answer will be obvious if you simply plot the 2 points on the x-y coordinates on your own.

Chandru.

Answer 2

Hey Elijah! You may like a "stair-step" view: x=0, y=1st floor ... x=3, y=2nd floor. Climbing a floor takes 3 x-steps ... slope is "tilt" or "rise over run" = (1 floor rise) / (3 x-step run) or 1/3 ...

y-intercept is an offset: it's what floor you're on when x=0 ==> 1st floor ...

y= "tilt"x + offset= "1/3"x + 1 ... What if the "tilt" is 1? x=0,y=1 ... x=1, y=2 ... x=2, y=3 ... 3,4 ... 4,5 ... 5,6 ... 6,7 ... What if the "offset" is 3? x=0, y=3 ... x=1,y=4 ... x=2,y=5 ... 3,6 ... 4,7 ... 5,8 ... 6,9 ... Best regards, sir :)

Answer 3

The one important thing to remember is the formula for slope intercept form is y=mx+b where m is the slope and b is the y-intercept. The other formula is y-y1=m(x-x1) 

Recall m= y2-y1/x2-x1 so m= 1-2/0-3 = 1/3 is slope of the line where as  x1=3, x2=0, y1=2, and y2=1

y-2=1/3(x-3) y=1/3x+1 is the slope-intercept form where m =1/3 and b= 1 

I hope this helps.