Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}
15+6<span>√3 is the correct answer.
Work:
</span><span>√75 + √3 √75 + √3
5</span>√3+√3+√3*5√3
6√3+3*5
15+6√3
You know that -3 is the Y intercept(vertical graph line) and then continue 2/1 every x value that is plugged in.
The equation would be (x+4)+x=18. X stands for the amount of pears Wilma bought, and (x+4) is the amount of pears Tania bought (because she bought four more pounds than Wilma).
(X+4)+x=18
2x+4=18 (now you subtract four from both sides)
2x=14 (to get x by itself, divide both sides by 2)
X=7
Wilma bought 7 pounds of pears :3
