Mathematics
Grade10
Easy
Question
Given the graph, find the equation of the line in point slope form.
![](data:image/png;base64,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)
- y - 20 = ½ (x - 4)
- y - 20 = 5(x - 4)
- y + 20= 5(x + 4)
- y - 20 = 1(x - 4)
Hint:
Given the graph the slope will be
m = ![fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](https://lh6.googleusercontent.com/4wnRj3nnBxJ40K4zzRlJLDt_7UBFCm1udC8u9HxA3JCuYKEGqtc_OwJV05JY4S_BkKyzr65DfBrOnFo2BfSKOmgzpM2HQW3kmhCBisvbY5xnVYbMCAqy2LpGqyKj3c84khWXlUiP0cnarNY8yDSKXJ8)
and equation y - y1 = m (x - x1) is the point–slope .
The correct answer is: y - 20 = 5(x - 4)
Taking point (0 , 0 ) and (4,20)
Step 1 : slope is = ![fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction](https://lh6.googleusercontent.com/4wnRj3nnBxJ40K4zzRlJLDt_7UBFCm1udC8u9HxA3JCuYKEGqtc_OwJV05JY4S_BkKyzr65DfBrOnFo2BfSKOmgzpM2HQW3kmhCBisvbY5xnVYbMCAqy2LpGqyKj3c84khWXlUiP0cnarNY8yDSKXJ8)
= 20-0/4-0 = 5
From the graph m is 5
Step 2 : point is (4,20)
y - y1 = m (x - x1) is the point–slope form of the equation of a line.
So, Substituting the values
equation of line is y - 20 = 5(x - 4) .
First find the slope using any two clear points .
Then using one point and slope construct the equation in point slope form .