How do you write the equation in slope intercept form given (-5,6) (4,4)?

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How do you write the equation in slope intercept form given (-5,6) (4,4)?

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Answer 1 · 2018-04-13T05:53:44

$y = (- \frac{2}{9}) x + \frac{35}{9}, S l o p e = - \frac{2}{9}, y-intercept = \frac{35}{9}$ $color(brown)(y = (-2/9)x + 35/9, Slope = -2/9, "y-intercept " = 35/9$

Explanation:

Slope intercept form of equation is $y = m x + c$ $y = m x + c$

where m is the slope and c is the y-intercept.

Equation of a line is given by the formula,

$\frac{y - y_{1}}{y_{2} - y_{1}} = \frac{x - x_{1}}{x_{2} - x_{1}}, knowing the two points on the line$ $(y-y_1) / (y_2-y_1) = (x - x_1) / (x_2 - x_1), " knowing the two points on the line"$

$G i v e n : (x_{1}, y_{1}) = - 5, 6), (x_{2}, y_{2}) = (4, 4)$ $"Given : (x_1,y_1) = -5,6), (x_2, y_2) = (4,4)$

$:.(y - 6) / (4 - 6) = (x + 5) / (4 + 5)$

$(y - 6) / -2 = (x+5) / 9$

$y - 5 = (-2/9)x - -10/9$

$y = (-2/9) x - 10 / 9 + 5$

$color(brown)(y = (-2/9)x + 35/9, Slope " " = m = -2/9, "y-intercept "= c = 35/9$

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How do you write the equation in slope intercept form given (-5,6) (4,4)?

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