Question

Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?

y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.

Answer 1

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Answer 2

Answer:

The equation of line that passes through (5,1) and has a slope of $\frac{1}{2}$ is $y-1=\frac{1}{2}(x-5)$

Step-by-step explanation:

It is asked to determine the equation of line that passes through point (5,1) and has a slope of $\frac{1}{2}$.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

We know that equation of line passing through point $(x_{1},y_{1})$ and slope m is $y-y_{1}=m(x-x_{1} )$

Here the slope is $\frac{1}{2}$

The point $(x_{1},y_{1})=(5,1)$.

Equation of line is $y-1=\frac{1}{2}(x-5)$.

The equation of a straight line with slope m and y-intercept c is y=mx+c. Slope m is also called gradient and c is the height at which the line crosses the y -axis i.e. y -intercept.

To know more about equation of straight line go to the following link.

https://brainly.in/question/14120580

To know more about slope of line go to the following link.

https://brainly.in/question/52131636

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