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Sagot :
Given:
Point ( 0, 2) and (4, 5)
The coordinates are:
x₁=0 y₁=2 x₂=4 y₂=5
First, we need to find the slope(m) using the formula below:
[tex]\text{slope(m)}=\frac{y_2-y_1}{x_2-x_1}[/tex]Substitute the values and evaluate.
[tex]\text{slope(m)}=\frac{5-2}{4-0}=\frac{3}{4}[/tex]Next, is to find the intercept(b) by substituting m=3/4 x=0 and y=2 into y=mx+b and then solve for b.
2 = 3/4 (0) + b
b=2
We can now proceed to form the equation by substituting the values of m and b into y=mx + b.
Hence, the equation of the line is:
[tex]y=\frac{3}{4}x\text{ + 2}[/tex]
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