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A linear equation should look (or can be made to look) like this: Ax+By+C = 0. Usually A is a natural number and B and C are integers. To find the y-intercept, let x = 0 and solve for y. Call the answer b. Then the y-intercept is b, and the point on the y-axis where the line crosses is (0,b). To find the x-intercept, let y = 0 and solve for x. Call the answer a. Then the x-intercept is a, and the point on the x-axis where the line crosses is (a,0). This method can be used whatever form the linear equation is in.
Here is a quick way to find the intercepts: Question: Find the intercepts of 3x -2y = 6 Solution: Write down the pattern (0, __ ), ( __ , 0). To fill the first blank, put 0 in for x. Since 3x will = 3(0) = 0, cover up the "3x" in the question, either with your finger or mentally, and solve the remaining equation mentally: -2y = 6; y = 6/-2; y = -3. Now we have (0,-3), ( __ , 0). In the same way, put 0 in for y and find that 3x = 2 => x = 2, giving (0,-3), (2,0). The y-intercept is -3 and the x-intercept is 2. The associated points are (0,-3) and (2,0).
What else can I help you with?
What is the x-intercept and the y-intercept of 4x-6y equals 12?
X-intercept=3 y-intercept=-2
What is the slope and y-intercept and x-intercept of y equals -7?
Slope is zero y-intercept is -7 there is no x-intercept for this equation
Why do you use y-intercept for b in the slope intercept form?
If the slope-intercept equation is in the form: y = mx + b then the y-coordinate of the intercept is b
What is the slope of a line that has a y-intercept but no x-intercept?
A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.
How do you find the y-intercept and x-intercept of y equals -1?
The function y = -1 has no x-intercept; its graph is a horizontal line with a y-intercept of -1.
What is the importance of the x-intercept?
What is the importance of the x-intercept What is the importance of the x-intercept What is the importance of the x-intercept
What is the x-intercept and the y-intercept of 4x-6y equals 12?
X-intercept=3 y-intercept=-2
What is the slope and y-intercept and x-intercept of y equals -7?
Slope is zero y-intercept is -7 there is no x-intercept for this equation
What is the slope x intercept and y intercept of 3X plus y equals 7?
y intercept 7 x intercept 7/3
What is meant by vertical intercept?
y-intercept
What is the difference between the x- intercept and the y- intercept?
The y-intercept is where the line crosses the y-axis, and the x-intercept is where the line cross the x-axis
What is the slope and y-intercept and x-intercept of y equals -x plus 1?
Slope is -1 y-intercept is 1 x-intercept is 1
Why do you use y-intercept for b in the slope intercept form?
If the slope-intercept equation is in the form: y = mx + b then the y-coordinate of the intercept is b
What is the slope of a line that has a y-intercept but no x-intercept?
A line with a y-intercept but no x-intercept will be a straight line parallel to the x axis. It will have a slope of zero.
What does it mean to intercept in math?
Intercept is a noun, not a verb: so "to intercept" makes no sense. An intercept is a point where a line or curve crosses a line - usually a coordinate axis.
What part of the general slope-intercept equation represents the y-intercept?
y=mx+b is the general slope intercept equation and b represents the y intercept.
How do you find the y-intercept and x-intercept of y equals -1?
The function y = -1 has no x-intercept; its graph is a horizontal line with a y-intercept of -1.
