Question

Hello could you please help me with these problems?14. Write an equation in point-slope form for the line that has a slope of 4/3 and passes through (3,0).

Answer 1

`(y-0)=(4)/(3)(x-3)`

1) Point slope form equations are written according to this general formula:

`(y-y_1)=m(x-x_1)_{}`

2) Since we've got the slope and one point we can plug them into the formula:

`\begin{gathered} (y-0)=(4)/(3)(x-3) \\ y=(4)/(3)x-4 \end{gathered}`

That yields the equation of the line y=4/3x -4 (slope-intercept form). So in Point Slope form, the answer is:

(y-0)=4/3(x-3)