Write an equation in slope intercept form of the line that passes through the given points.
23. (10,2) and (-2,-2)

Question

Write an equation in slope intercept form of the line that passes through the given points. 
23. (10,2) and (-2,-2)

trojanpoem · Answer

Slope - intercept form:

$$y = mx + b$$

Slope formula:

$$\frac{ \Delta y }{ \Delta x } = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }$$

$$\frac{ \Delta y }{ \Delta x } = m  = slope.$$

$$slope = \frac{ -2 -2 }{ -2 -10 } = \frac{ -4 }{-12 } = \frac{ 1 }{ 3 }$$

$$y = \frac{ 1 }{ 3}x + b$$

From your points ( 10,2) , (-2,-2)$$-2 = \frac{ -2 }{ 3 } + b$$

$$b = -2 +\frac{ 2 }{ 3 } = \frac{ -4 }{ 3 }$$

$$y = \frac{ 1 }{ 3 }x -\frac{ 4 }{ 3 }$$