Question

Someone PLEASEEEEE HELP!! :(

Answer 1

The equation that represents the line that passes through the points is $y-1 = \frac{5}{4}(x-1)$. The correct option is D. $y-1 = \frac{5}{4}(x-1)$

Equation of a line

From the question, we are to determine the equation of the line that passes through the given points

Using the formula

$\frac{y-y_{1} }{x-x_{1}} =\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

From the give information,

$x_{1} = 1 \\y_{1} = 1\\{x_{2} =5$

$y_{2} = 6$

Putting the parameters into the formula,

$\frac{y-1 }{x-1} =\frac{6-1}{5-1}$

$\frac{y-1 }{x-1} =\frac{5}{4}$

∴ $y-1 = \frac{5}{4}(x-1)$

Hence, the equation that represents the line that passes through the points is $y-1 = \frac{5}{4}(x-1)$. The correct option is D. $y-1 = \frac{5}{4}(x-1)$

Learn more on Equation of a line here: brainly.com/question/12079926

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