Maths-
General
Easy
Question
Find the gradient and y- Intercept of the line
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. First we convert the given equation in this form. Further, compare the equation with the standard form to get the slope and the y-intercept.
The correct answer is: we get Gradient = negative 1 half y-intercept = 7
Step by step solution:
The given equation of the line is
x + 2y = 14
We need to convert this equation in the slope-intercept form of the line, which is
y = mx + c
Rewriting the given equation, we have
2y = 14 - x
Dividing by 2, we get
Simplifying, we get
Comparing the above equation with , we get
Thus, we get
Gradient =
y-intercept = 7
We need to convert this equation in the slope-intercept form of the line, which is
Rewriting the given equation, we have
Dividing by 2, we get
Simplifying, we get
Comparing the above equation with , we get
Thus, we get
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. Using this method, be careful to check that the equation is in general form before applying the formula.
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