How do you find the graph of the equation that goes through $(0,- 2) ,( 3,- 4)$ ?

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Answer 1 · 2017-04-07T22:29:50

Find the slope from the changes in x and y. Then solve for $b$ by putting in values for x and y .

$y = -2/3x-2$

Slope, $m= ( y_1 - y_2)/( x_1 - x_2)$
Substitution of the value for the two points given results in

Slope = ${-2 - (-4)}/ (0-3)$ Simplifying gives

Slope = $2/-3$

The equation of a line in the slope intercept form is

$y = -2/3x + b$

Substituting the values of the point $( 0 -2)$ to solve for b gives

$-2 = -2/3 xx 0 + b$

$-2 = b$

The equation is

$y = -2/3x -2$

How do you find the graph of the equation that goes through (0,- 2) ,( 3,- 4)(0,- 2) ,( 3,- 4)?