Question

Weat is the

The point slope form of the equation of the line that passes through (-9, -2) and (1, 3) is
slope-intercept form of the equation for this line?
o y = 2 x + 2
0 y = 2 x 4
o y = x + 2
O y = x - 2
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Answer 1

The slope intercept of the given line equation AB is
`y  = (1)/(2)  ( x)- (5)/(2)`

Explanation:

Here,the two given point s are A ( -9,-2) and B (1,3).

Now, the slope m of the line AB =
`= (y_2 - y_1)/(x_2 -x_1)`

`\implies m = (3 - (-2))/(1 - (-9))  = (3+2)/(1+9)  = (5)/(10)  = (1)/(2)`

or, the slope of line AB = 1/2

Now, the POINT SLOPE FORM of any equation with point (x0,y0) and slope m is given as :

y - y0 = m (x -x0)

So, the line equation of AB is given as :

`y - 3 = (1)/(2)  ( x-1)\\\implies y  =3 +  (1)/(2)  ( x-1)\\or, y  = (1)/(2)  ( x)- (5)/(2)`

SLOPE INTERCEPT form is y = mx + c

Hence, the slope intercept of the given line equation AB is
`y  = (1)/(2)  ( x)- (5)/(2)`