Slope-intercept form is <em>y</em><em> = </em><em>mx</em> + <em>b</em>, where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept. To write this in slope-intercept form we must isolate the <em>y</em>:
2x + 3y = 1470
2x + 3y - 2x = 1470 - 2x (subtraction will cancel the positive 2x on the left side of the equation)
3y = -2x + 1470 (since they are not like terms we cannot combine them, we leave them separate)
3y/3 = -2/3x + 1470/3 (cancel the 3 by dividing; EVERYTHING gets divided to keep it equal)
y = -2/3x + 490
The slope of this equation is -2/3 and the <em>y</em>-intercept is 490.
To graph this equation, plot 490 on the <em>y</em>-axis first, since it is the intercept. Then count over to the right 3 and down 2 to find the next point; continue this for all successive points.
In function notation this would be <em>f</em>(<em>x</em>) = -2/3<em>x</em> + 490. This function shows how the profit on wrap specials changes as the number of sandwich specials sold increases. The graph of the function is attached.
The next month, when Sal's profit increased, the function changes because the <em>y</em>-intercept changes. The slope stays the same.
Hi,
The ratio is 42:35
Simplest form = 6:5(divide both by 7)
Hope this helps you.
A line crossing the circle at point A and passing through its center O is perpendicular to a line tangent to the circle at point A.
Therefore, segment AB is perpendicular to OA. And segment BC is perpendicular to OC:
12x + (-3y) + 4x + (-z)
12 (3) + -3 (13) + 4 (3 ) + (-5)
36 + -39 + 12 + (-5)
36 + 12 -39 - 5
48 - 44
4
Okay. fist off don't think of them as 5 units each, but 1. so if you were to put it on graphing paper and box squares each time. you would be able to get 8 in for both sides to make a square. Area then would be 1600ft squared because 8 ×5 is 40 and 40×40 is 1600. then you calculate how many squares you used. 8×8=64. and 80-64=16 so 16 pieces are left over. then 9×9 (increasing the square) is 81. so 17 pieces to increase it.