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What is the equation of the line that passes through the point (4, 1) and has a slope of 1/2?
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Sagot :

Dinofish32

Answer: 1/2 x - 1

Step-by-step explanation:

We can use the point-slope form to solve this. This formula just needs a point on the line and the line's slope to find the equation of the line. Here's the formula:

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

where m is the slope of the line and [tex](x_1, y_1)[/tex] is the point on the line. In this case, we can substitute m = 1/2, [tex]x_1 = 4[/tex] and [tex]y_1 = 1[/tex]:

[tex]y - 1 = \frac{1}{2}(x - 4)\\y = \frac{1}{2}x - 1[/tex]

So, the equation of the line is 1/2 x - 1

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