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give the points (4,-5) and (0,-2) on a line find the values of M and B.
y= mx+b
M= ?

B= ?

enter answers as integers and or as reduced fractions in the form A/B


Sagot :

Answer:

m = -3/4; b = -2

Step-by-step explanation:

y = mx + b

First, we use the coordinates of the points to find the slope, m.

m = (y2 - y1)/(x2 - x1) = (-2 - (-5))/(0 - 4) = (-2 + 5)/(-4) = -3/4

The slope, m = -3/4.

Now we use the slope and the coordinates of one point in the equation y = mx + b to find b.

y = mx + b

y = (-3/4)x + b

Let's use point (0, -2).

-2 = (-3/4)(0) + b

b = -2

Answer: m = -3/4; b = -2