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 Form 2 Mathematics equations of straight lines online lessons

Gradient, Y-intercept and X-intercept of a straight line

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Answer Text:
The gradient/slope of a straight line as discussed earlier is given by #(Delta y)/ (Delta x)# , the yintercept is the point at which the line cuts the y-axis, obtained when the value of x-co-ordinate is 0.
The x-intercept is the point at which the line cuts the x-axis, it is obtained when the value of the y-co-ordinate is 0.
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-The three parameters can be calculated from a given line equation without drawing the line.
-When the line is written in the form y=mx +c,
Then;
-m- is the gradient of the line.
-c-is the y-intercept.
-To get the x-intercept, we substitute the value of y with 0.
Example 1. Find the gradient of the line whose equation is 3 y -6 x + 7 =0
Example 2. Find the gradient and y- intercept of the line whose equation is 4x – 3y – 9 = 0
Example 3. Find the x- intercept of the line whose equation is y = 2x + 10.