Q: Which of the following is true with regard to a linear equation Y a bX = 0, where X is the independent variable and Y is the dependent variable :-
(a) The slope of the straight line is a
(b)

The Y-intercept of the straight line is 0
(c) The Y-intercept of the straight line is b
(d) The slope and the Y-intercept remain constant for all combinations of X and Y values which
satisfy the equation

A: y=-x+8
To find the x-intercept, substitute in 0 for y and solve for x.
(0)=-x+8
Since x is on the right-hand side of the equation, [ switch the sides so it is on the left-hand side of the equation.
-x+8=(0)
Remove the parentheses around the expression 0.
-x+8=0
Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both

sides.
-x=-8
Multiply each term in the equation by -1.
-x*-1=-8*-1
Multiply -x by -1 to get x.
x=-8*-1
Multiply -8 by -1 to get 8.
x=8
To find the y-intercept, substitute in 0 for x and solve for y.
y=-(0)+8
Multiply -1 by the 0 inside the parentheses.
y=0+8
Adding 0 to an expression does not change the value of the expression.
y=8
These are the x and y intercepts of the equation y=-x+8.
x=8, y=8 ]

thederby|Points 1530|

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