anacaminero06 anacaminero06
  • 17-06-2021
  • Mathematics
contestada

Write the equation of the line in slope-interpret form. Explain

Write the equation of the line in slopeinterpret form Explain class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 22-06-2021

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

Answer Link

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