Write the equation in slope-intercept form of the line that contains the points (4, -7) and (0, 5).

Answer 1

Y = MX + B

(4,-7) and (0,5) are points on the line.

Determine what the SLOPE M is:

The SLOPE = RISE/RUN = (5 - (-7))/(0 - 4) = (5 + 7)/(-4) = 12/-4 = -3

Use either one of the two points(coordinates) from above to determine the value of B,

the Y-INTERCEPT.

Y = MX + B

5 = (-3)(0) + B Use the point(0,5) where X=0 and Y = 5, and plug into Y=MX+B

5 = 0 + B

5 = B

Since we know the slope M and the Y-INTERCEPT B, just plug those two values into

the equation Y = MX + B.

Y = -3X + 5 is the equation of the line containing points (0,5) and (4, -7)

CHECKING:

Let X = 0 and see if Y = 5. Does 5 = (-3)(0) + 5 = 0 + 5 = 5? Yes, 5=5.

Let X = 4 and see if Y = -7. Does -7 = (-3)(4) + 5 = -12 + 5 = -7? Yes, -7 = -7

Hope this was helpful Malik.