What is the slope-intercept form of the line passing through $(-4, 1)$ and $(4,2)$ ?

Question

1343 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-28T07:51:35

$y=1/8x+3/2$

If two points are know we can find the eqn as follows:

$"given "(x_1,y_1)" "(x_2,y_2)$

$"eqn. " "(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)$

we have $" " (x_1,y_1)=(-4,1)" "(x_2,y_2)=(4,2)$

$(y-1)/(2-1)=(x- -4)/(4- -4)$

$(y-1)/1=(x+4)/(4+4)=(x+4)/8$

$y-1=1/8x+1/2$

$y=1/8x+3/2$

What is the slope-intercept form of the line passing through (-4, 1) (-4, 1) and (4,2) (4,2) ?