Question
State the gradient and y-intercept of the line y = -3x + 8.
Hint:
Gradient is also called the slope of the line. The slope intercept form of the equation of the line is y = mx + c, where m is the slope of the line and c is the y-intercept. The given equation is already in this form. We compare the given equation with this form to get the slope and the y-intercept.
The correct answer is: we get Gradient = -3 y-intercept = 8
Step by step solution:
The given equation of the line is
y = - 3x + 8
Comparing the above equation with
y = mx + c
We get
m = -3; c = 8
Thus, we get
Gradient = -3
y-intercept = 8
Comparing the above equation with
We get
Thus, we get
The student needs to remember all the different forms of equation of a line and what each term and notation signifies in the equation.
We can find the slope and y-intercept directly from the general form of the equation too; slope =
and y-intercept =
, where the general form of equation of a line is ax + by + c = 0.
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In an academic contest correct answers earn 12 points and incorrect answers lose 5
points. In the final round, school A starts with 165 points and gives the same number
of correct and incorrect answers. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the two schools tied.
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¶The standard form of a linear equation in one variable is: ax + b = 0
Where,
The letters 'a' and 'b' are real numbers.
'a' and 'b' are both greater than zero.
