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How do you write an equation in standard form of the line that has y-intercept of -4 and passes through (5, -3)?

Answer 1

y= #1/5#x -4

Y intercept is at the point (0,-4). This can be used to find the slope of the line. The slope would be #(-3+4)/(5-0)# = #1/5#. The equation now can be written straight away as y= #1/5# x -4

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Answer 2

Eva Adamson

To write the equation of a line in standard form when given the y-intercept and a point, follow these steps:

Use the given y-intercept to determine the y-coordinate of the point where the line intersects the y-axis.
Use the given point to determine the slope of the line using the formula (m = \frac{{y_2 - y_1}}{{x_2 - x_1}}).
Substitute the slope and the coordinates of the given point into the point-slope form of a linear equation: (y - y_1 = m(x - x_1)).
Expand and simplify the equation.
Rearrange the equation into standard form: (Ax + By = C), where (A), (B), and (C) are integers, and (A) is positive.

By following these steps, you can write the equation of the line in standard form.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.