graceym21 graceym21
  • 21-10-2021
  • Mathematics
contestada

Write the equation of the line through
(0, 4) and (2, 0) in slope-intercept form.

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itzcocobecs
itzcocobecs itzcocobecs
  • 21-10-2021

Answer: y = -2x + 4

Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.

now we need to find the slope. we can do this by plugging the two points into the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. so we'd have [tex]\frac{0-4}{2-0}[/tex] to get -4/2 which is -2. -2 is the slope.

so the final answer is y = -2x + 4

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