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A line has a slope of 4 and passes through the point ( – 1, – 4). Write its equation in slope-intercept form.

User Jason C
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Final answer:

The equation of the line with a slope of 4, passing through the point (-1, -4), is y = 4x. The y-intercept is found to be 0, resulting in the slope-intercept form without a constant term.

Step-by-step explanation:

To write the equation of a line in slope-intercept form, which is y = mx + b, where 'm' represents the slope and 'b' represents the y-intercept, follow these steps:

  1. Start with the slope-intercept formula: y = mx + b.
  2. Insert the given slope (4) into the formula: y = 4x + b.
  3. Use the given point (-1, -4) to solve for 'b'. Plug in x = -1 and y = -4 into the equation: -4 = 4(-1) + b.
  4. Solve for 'b': -4 = -4 + b, so b = 0.
  5. The final equation of the line is y = 4x.

This line passes through the point (-1, -4) and has a slope of 4, which means for every increase of 1 on the horizontal axis, there is a rise of 4 on the vertical axis.

User DdoGas
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