Question

Write the SLOPE INTERCEPT form equation given the following information * 3 8) through: (2, 2), slope = 1

Answer 1

The intercept on the equation of line is represented by c, where the equation of line is y = mx + c

Now, ( 2,2 ) means x=2, y=2 , the slope is m which is -3/2 ( from the question )

Hence, substitute all into the equation of line to find c

Recall, equation y = mx + c

`\begin{gathered} 2\text{ = }(-3)/(2)\text{ ( 2 ) + c } \\ 2\text{ = -3 + c } \\ c\text{ = 2 + 3 ( adding 3 to both sides ) } \\ c\text{ = 5 } \end{gathered}`

Hence, we say that the intercept of the slope C is 5

The equation form is y = -3/2 x + 5 ( since m = -3/2 and c = 5 )