Question

Which is an equation of the line with a slope of2323 passing through the point (4,-1).Group of answer choices=14+23 =−4+23 =23−53 =23−113

Answer 1

Given that the slope of a line is 2/3, that passes through the point (4, -1), i.e

`\begin{gathered} m=(2)/(3) \\ (x_1,y_1)\Rightarrow(4,-1) \end{gathered}`

The formula to find the equation of straight line is

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where m is the slope of the line} \end{gathered}`

Substitute the values into the formula of the equation of a straight line

`y-(-1)=(2)/(3)(x-4)`

Solve for y i.e make y the subject

Thus, the answer is

`y=(2)/(3)x-(11)/(3)`

Thus, the answer is the last option.