Question

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

Answer 1

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.