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Write an equation of a line that passes through the given point and has slope m
(3,4) m=1/2

Sagot :

Panoyinidn
y - y₁ = m(x - x₁)
y - 4 = ¹/₂(x - 3)
y - 4 = ¹/₂x - 1¹/₂
  + 4           + 4   
     y = ¹/₂x + 5¹/₂
IGreenidn
Plug the point and the slope into point-slope form and simplify to get it in slope-intercept form.

[tex]\sf~y-y_1=m(x-x_1)[/tex]

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

[tex]\sf~y-4=\dfrac{1}{2}(x-3)[/tex]

Distribute 1/2:

[tex]\sf~y-4=\dfrac{1}{2}x-1.5[/tex]

Add 4 to both sides:

[tex]\boxed{\sf~y=\dfrac{1}{2}x+2.5}[/tex]

or

[tex]\boxed{\sf~y=\dfrac{1}{2}x+2\dfrac{1}{2}}[/tex]
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