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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 ]
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