# What is the slope-intercept form of the line passing through  (0, 6)  and  (5, 4) ?

The equation of line in slope intercept form is $y = - \frac{2}{5} \cdot x + 6$
The slope of the line passing through $\left(0 , 6\right) \mathmr{and} \left(5 , 4\right)$ is $m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}} = \frac{4 - 6}{5 - 0} = - \frac{2}{5}$
Let the equation of the line be $y = m x + c$ Since the line passes through $\left(0 , 6\right)$, it will satisfy the equation $\therefore 6 = \left(- \frac{2}{5}\right) \cdot 0 + c \mathmr{and} c = 6 \therefore$The equation of line is $y = - \frac{2}{5} \cdot x + 6$ graph{-(2/5)*x+6 [-20, 20, -10, 10]} [Ans]