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I need help with this!

I need help with this!-example-1
User Catherine Georgia
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1 Answer

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Answer:

  • point-slope equation: y +1 = -3/4(x -4)
  • slope-intercept equation: y = -3/4x +2

Explanation:

(a) You can find the slope from the two given points:

y-intercept: (0, 2)

and (4, -1)

The slope formula tells you ...

m = (y2 -y1)/(x2 -x1)

m = (-1 -2)/(4 -0) = -3/4

The point-slope equation for a line is ...

y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

y +1 = -3/4(x -4) . . . . . line with slope -3/4 through point (4, -1)

__

(b) Adding -1 and eliminating parentheses gives ...

y = -3/4x +3 -1

y = -3/4x +2 . . . . . . . slope-intercept equation

__

Check

The constant in the slope-intercept equation is 2, the value that was given as the y-intercept—as it should be.

User Spencer Trinh
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