Respuesta :

2 points on the same line you can find the slope using one of the points substitute in the equation of the line Y = m x + b now you can find the intercept b then write the general equation for any point (x, y)
25001659

Answer:

y=x+3

Step-by-step explanation:

The equation of a line slope-intercept form is

  • y=mx+6

where m is the slope and b is the y- intercept to calculate m use the gradient formula

m=[tex]\frac{y2-y1}{x2-x1} let (x1,y1)=(2,5) and (x2,y2)= (6,9) \\[/tex]

⇒ m= [tex]\frac{9-5}{6-2} =\frac{4}{4} =1[/tex]

⇒y=x+b←is the partial equation to find b subtitute either of the 2 given points into the equation using (2,5)

5=2+6⇒b=3

⇒y=x+3←is the linear equation

So the answer to ur question is y=x+3

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