# What is the slope intercept form of the line passing through (-10,0)  with a slope of -7/2 ?

Jun 19, 2018

color(crimson)(y = -(7/2)x - 35 " is the slope - intercept form"

#### Explanation:

$\text{Slope - intercept form of a linear equation is } y = m x + c$

$\text{where " m " is the slope and " c " is the y-intercept}$

$\text{Given } m = - \frac{7}{2} , \left({x}_{1} , {y}_{1}\right) = \left(- 10 , 0\right)$

Point- slope form of an equation is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

$\therefore \left(y - 0\right) = - \left(\frac{7}{2}\right) \cdot \left(x - \left(- 10\right)\right)$

$\text{Slope " = m = -7/2, "y-intercept } = c = - 35$

color(crimson)(y = -(7/2)x - 35 " is the slope - intercept form"

graph{-(7/2)x - 35 [-10, 10, -5, 5]}