what is the x-intercept of 2x+y=3
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SOLUTION
STEP1:
Equation of a Straight Line
1.1 Solve 2x+y-3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
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y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-3 = 0 and calculate its properties
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Calculate the X-Intercept :
When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000
x-intercept = 3/2 = 1.50000
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Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - 3.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
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THE ANSWER IS
[tex]x-intercept=\frac{3}{2}[/tex]
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