-8x -2y = 16
Algebraically rearrange into the form ' y = mx + c'.
Hence
2y = -8x - 16
Divide both sides by '2'
y = -4x - 8
Hence
'm' the slope is '-4'
'c' the y-intersect is '-8'.
NB The equation can be in numerous forms : -
-8x - 2y - 16 = 0
8x + 2y + 16 = 0
-8x = 2x + 16
8x2y
2x2y
To simplify the expression (8x^2y + 2xy^2), you can factor out the common terms. The greatest common factor is (2xy), so the expression can be rewritten as (2xy(4x + y)). Thus, the simplified form is (2xy(4x + y)).
To find the product of (8x^2y) and (7xy^3z), multiply the coefficients and the variables separately. The coefficients give (8 \times 7 = 56). For the variables, combine them: (x^2 \times x = x^{2+1} = x^3), (y \times y^3 = y^{1+3} = y^4), and (z) remains as is. Thus, the final product is (56x^3y^4z).