For the straight line defined by points (4,51) and (6,83), determine the slope and y intercept.

Slope formula : (y2 - y1) / (x2 - x1)

(4,51)(6,83)sub into the slope formula and find the slope
slope = (83 - 51) / (6 - 4) = 32/2 = 16 <=== slope

y = mx + b
slope(m) = 16
use either of ur points..(4,51)...x = 4 and y = 51
now we sub and find b, the y int
51 = 16(4) + b
51 = 64 + b
51 - 64 = b
- 13 = b <== ur y intercept

and ur equation is : y = 16x - 13...and in y = mx + b form, the slope is in the m position and the y intercept is in the b position.

Here, feel free to ask if there are any questions