# What is the equation of the line with slope # m= 3/5 # that passes through # (-2,17) #?

##### 1 Answer

Apr 1, 2016

5y - 3x - 91 = 0

#### Explanation:

Writing the equation in the form y = mx + c , where m represents the gradient (slope) and c, the y-intercept.

Equation can be partially written as

# y = 3/5 x + c # Using (-2,17) to find c , by substituting x = -2 , y = 17 into the equation.

#rArr 17 = 3/5xx(-2) + c rArr c = 17 + 6/5 = 91/5 # equation of line is therefore :

# y = 3/5 x + 91/5 # multiplying through by 5 , will eliminate fractions.

hence : 5y = 3x + 91 → 5y - 3x - 91 = 0

All 3 forms are valid equations for the line.