## anonymous one year ago What is the equation of the line with a slope of 2/3 that goes through the point (4,1) in slope-intercept form? A) 2/3x+5/3 B) -2/3x -5/3 C) -2/3x +5/3 D) 2/3x -5/3

1. anonymous

$$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({\color{red}{ 4}}\quad ,&{\color{blue}{ 1}})\quad \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{2}{3} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\ \qquad \uparrow\\ \textit{point-slope form}$$

2. anonymous

D)