Question

Find the equation of the line described, giving it in slope-intercept form if possible. Through (5,8), perpendicular to 9x+y=6 The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any number

Answer 1

`9x + y = 6 \\ y = - 9x + 6 \\ \\ so \: (m) \: = - 9 \\ \\ slope \: of \: the \: other \: line \: is \: (1)/(9) because \: they \: are \: prependicular \\ m1 * m2 = - 1 \\ \\ y - y1 = m(x - x1) \\ y - 8 = (1)/(9) (x - 5) \\ y - 8 = (1)/(9) x - (5)/(9) \\ y = (1)/(9) x - (5)/(9) + 8 \\ y = (1)/(9) x - (5)/(9) - (72)/(9) \\ y = (1)/(9) x - (77)/(9)`