Question

How do u determine the equation of the line through each pair of points in slope-intercept form (y=mx+b). (3,0) and (2,4) (-6,3) and (2,-2)​

Answer 1

Y =-4X +12

Y =-0.625X -0.75

Explanation:

(3,0) and (2,4)....

x1 y1 x2 y2

3 0 2 4

(Y2-Y1) (4)-(0)= 4 ΔY 4

(X2-X1) (2)-(3)= -1 ΔX -1

slope= -4

B= 12

Y =-4X +12

~~~~~~~~~~~~~~~~~

(-6,3) and (2,-2)​

x1 y1 x2 y2

-6 3 2 -2

(Y2-Y1) (-2)-(3)= -5 ΔY -5

(X2-X1) (2)-(-6)= 8 ΔX 8

slope= - 5/8

B= - 3/4

Y =-0.625X -0.75