The equation of the line that cuts through (0,5) and (1,2) is y = -3x + 5
Given that we have to find equation of the line that cuts through (0,5) and (1,2)
The equation of line passing through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where "m" is the slope of line
Let us first find slope of line
The slope of line is given as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text{ Substituting } (x_1, y_1) = (0, 5) \text{ and } (x_2, y_2) = (1, 2)[/tex]
[tex]m=\frac{2-5}{1-0}=-3[/tex]
Thus the required equation of line is:
[tex]y - 5 = -3(x - 0)\\\\y - 5 = -3x\\\\y = -3x + 5[/tex]
Thus the equation of line is found
