Question

1 point 12. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. through: (0,0) and (4,3) Your answer

Answer 1

Let's begin by listing out the given information:

`(x,y)=(0,0),(4,3)`

We will calculate for the slope:

`\begin{gathered} slope(m)=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ slope(m)=(3-0)/(4-0)=(3)/(4) \\ slope(m)=(3)/(4) \end{gathered}`

We proceed to use the point-slope formula to calculate the equation of the line:

`\begin{gathered} y-y_1=m(x-x_1) \\ (x,y)=(0,0),m=(3)/(4) \\ y-0=(3)/(4)(x-0) \\ y=(3)/(4)x \end{gathered}`