ine finding the slope and y-intercept, we can use the following equation for convenience

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

1) y + 3= -1/3 *subtract 3 from each side

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)

nicely this would not ask you for coordinates. it ask you for y-intercept and the slope to graph. that’s uncomplicated so relax and save interpreting. isolate y first: 5x + 15y = 40 5 minus 5x on the two components: 15y = -5x + 40 5 divide by 15 on the two components: y = -a million/3x + 3 y – intercept is 3 slope is -a million/3 which you would be able to graph it rather is by putting a dot on 3 on the y – axis and circulate down a million and proper 3 and proceed that way or circulate circulate up a million and left 3 and proceed that way or do the two yet make confident it starts off on the three of the y – axis

y=mx+b = standard equation where m is the slope and b is the y-intercept when x=0.