To find the y-intercept, we set x to 0.
3*0+8y=24
8y=24
y=3
To find the x-intercept, we set y to 0.
3x+8*0=24
3x=24
x=8
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y intercept 7 x intercept 7/3
3
same x intercept as y = 3x -9 x intercept is when y = 0 0 = 3x-9 3x = 9 x = 3, the same x intercept Now find the line parallel to 3x+y = 0 with x intercept = +3 Since line is parallel it has the same slope 3x+y = 0 y = -3x +0 standard form where the number in front of x is slope, = -3 Thus y = -3x + b but we know x intercept (when y = 0) is +3 0 = -3(3) + b solve b = +9 the parallel line is y = -3x+9
y=-2/3x with any y-intercept except -2.
7x+6 = -3x-24 7x+3x = -24-6 10x = -30 x = -3