Question

Please help me solve, teacher didn’t explain how to solve for y=

Answer 1

Given the information on the picture, we can use the point (1/2, 4/5) and the slope m = 1/4 to find the equation of the line:

`\begin{gathered} (y-y_0)=m(x-x_0) \\ \Rightarrow y-(4)/(5)=(1)/(4)(x-(1)/(2))=(1)/(4)x-(1)/(8) \\ \Rightarrow y=(1)/(4)x-(1)/(8)+(4)/(5)=(1)/(4)x+(27)/(40) \\ y=(1)/(4)x+(27)/(40) \end{gathered}`

therefore, the equation of the line in slope intercept form is y = x/4 +27/40