SOLUTION: What are the x-intercept and y-intercept of a linear equation? (ii) What are their coordinates on a graph? Coordinates are the points through which line passes. (iii) How can

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Question 163280: What are the x-intercept and y-intercept of a linear equation?
(ii) What are their coordinates on a graph?
Coordinates are the points through which line passes.
(iii) How can they be used to graph a line?
If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.
iv)Demonstrate by determining the intercepts of "14x + 7y = 21".

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
What are the x-intercept and y-intercept of a linear equation?
An intercept is the point where a line intersects and axis. x intercept is on the x axis; y intercept is on the y axis.
(ii) What are their coordinates on a graph?
The coordinates are in the form (x,0) for x intercept and (0,y) for y intercept.
Coordinates are the points through which line passes.
(iii) How can they be used to graph a line?
Any line can be defined and drawn if you know any two points on that line. Assuming a line have both an x and a y intercept, then you have two points. So you can use those two points to draw the line.
If we are given 2 coordinates of the line, locate the two points. A line joining these two points will be required line.
iv)Demonstrate by determining the intercepts of "14x + 7y = 21".
Set x =0 and solve 14%2A0+%2B+7y+=+21
7y+=+21
y+=+3
so the y intercept is the point (0,3)
Set y=0 and solve 14x+%2B+7%2A0+=+21
14x+=+21
x+=+3%2F2
So the x intercept is the point (3/2, 0)
Now plot those two points and draw the line that includes them
graph%28400%2C400%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%2B3%29