# algebra 1- slope and y-intercept?

-Find the slope and y-intercept of each equation. then graph ex. y+3= -1/3x

-write an equation of a a line with the given slope and y-intercept.

ex. m= -9/5, b= -7

-write the slope-intercept form of the equation for each line

ex. (0, 3),(-3, 0)

-graph each equation using x-and -intercepts

ex. 7x+3x=21

-write each equation in standard form using integers

ex. y=2x-6

any help you can give me would great! thank you in advance!

Favorite Answer

y=mx+b

where b is your y intercept

and m is your slope

1.)..you can transform the y+3=-1/3x

…….as y=-1/3x-3

…….so your y-intercept is -3

….you slope is -1/3

2)…you can use again the formula to write the equation

…….given m= -9/5, b= -7

…….y=-9/5x-7

3)…your y intercept is the ordinate or y value point where x will ……equal to zero

……so in (0,3), 3 is your b or y intercept because this will ……make x zero

……we now have the equation

……y=mx+3

……plug the other point (3,0) to get the slope

……y=mx+3

……0=m(3)+3

……3=m(3)

……1=m

……m=1 <=== youre slope is 1 ......so your equation is now y=x+3 4)...I think that should be 7x+3y=21, not 7x+3x=21, If that is so, ......you can plot the line by giving 0 as the value of x and solve ......for y, which would yield (0,7) <==this is you y intercept ......you then give 0 as the value of y and solve for x, which ......would yield (3,0)<==this is you x intercept ......draw (3,0) and (0,7) in a Cartesian plane and connect ......them with a straight line 5)...The standard form of a line is in the form Ax + By = C ......where A is a positive integer, and B, and C are integers. ......so in the equation y=2x-6 ......0=2x-y-6 ......6=2x-y ......2x-y=6 <==is your standard form where A=2; B=-1 & C=6

y= -1/3 -3 *now in slope intercept form

to graph:

1) make a point at (0, -3)

2) go down one (0, -4) and over to the right 3 (3, -4)

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