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

Respuesta :

Let's begin by listing out the given information:

[tex](x,y)=(0,0),(4,3)[/tex]

We will calculate for the slope:

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

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

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