Find The equation
of line
passing through (0,-3) and (5.0).
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Answer:
Explanation:
The equation of the line will be in the form:
y = mx+ c
where m is the slope (gradient) and
c is the y-intercept.
To find the slope, we use:
m =(y2−y1)/(x2−x1)
It doesn't matter which point we decide is
(x1,y1) and which we choose as (x2,y2), since the formula will work either way.
m= (0+3)/(5-0) = 3/5
Now we can use the slope and the coordinates of one point - either will do - to find the y-intercept:
y=mx+c
0=3/5×(5) + c
=> c= 0- 3 =3
Over all, then, the equation of the line is:
y= (3/5)x + 3
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