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Sagot :
Answer:
- y = 4x + 2
Step-by-step explanation:
The slope-intercept form:
- y = mx + b, where m is the slope, b is the y-intercept
Find the slope using given points:
- m = (10 - 2)/(2 - 0) = 8 / 2 = 4
The y-intercept is given with point (0, 2):
- b = 2
The line is:
- y = 4x + 2
- (0,2)
- (2,10)
[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]
Put in slope intercept form
[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]
[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]
Equation of the line
[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]
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