Draw it to get a good graphical representation. So you have the line 6-2x, which has a y intercept of (0,6) and an x intercept of (3,0). So with this information we have that the height is 6 and the base length is 3.
Now using the triangle formula A=(1/2)*base*height you get 0.5 * 3 * 6 = 9
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Verified answer
3y = 6 - 2x
y = - 2/3 x + 2
x-int.: y = 0:
- 2/3 x + 2 = 0
2/3 x = 2
3(2/3 x) = 3(2)
2x = 6
x = 6/2
x = 3
y-int.: x = 0:
y = - 2/3(0) + 2
y = 2
Area, A = 1/2 xy:
A = 1/2[3(2)]
A = 1/2(6)
A = 3
Area = 3 sq. units
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Draw it to get a good graphical representation. So you have the line 6-2x, which has a y intercept of (0,6) and an x intercept of (3,0). So with this information we have that the height is 6 and the base length is 3.
Now using the triangle formula A=(1/2)*base*height you get 0.5 * 3 * 6 = 9
3y = 6 ï- 2x
workout x-intercept and y-intercept
x intercept: 6-2x=0, 6 = 2x, x=3 .....................(a)
y intercept: 3y = 6, y=2 ....................(b)
Area of the triangle = (a)*(b)/2 = 3 square units
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