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

1 Answer
Jim G.
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.

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