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What is the equation in slope - intercept form for the line that passes throught the points (-4,1) and (-3,0)

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Answer:

y = − x − 3

Explanation:

  • To find the equation of a line in slope-intercept form (y = mx + b) that passes through the points (-4, 1) and (-3, 0), you first need to calculate the slope (m) and then find the y-intercept (b).
  • The formula for calculating the slope (m) between two points (x1, y1) and (x2, y2) is:


\sf m=(y_2-y_1)/(x_2-x_1)

  • Using the points (-4, 1) and (-3, 0):


\sf m=(0-1)/(-3-(-4)) \\\\m=-1

  • Now that we have the slope (m), we can use one of the given points (let's use (-4, 1)) and substitute it into the slope-intercept equation (y = mx + b) to solve for the y-intercept (b):

1 = ( −1 ) ( −4 ) + b

1 = 4 + b

  • Now, solve for b:

b = 1 − 4

b = −3

  • So, the equation of the line in slope-intercept form is:

y = − x − 3

User Jon Saw
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