Question

A line with a slope of 5 passes through the point (0,4). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
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Answer 1

The equation of a line is written as y = mx + b, where m is the slope and b is the y intercept.

You are given the slope: 5

The y-intercept is the y value when x is 0, this is also the point given to you (0,4), so the y-intercept (b) is 4.

The equation is y = 5x +4

Answer 2

The equation of line is y = mx + b where m is slope.

In the given question slope is 5

So, we can substitute m with 5, and we get

y = 5x + b

The y-intercept is the y value when x is 0, this is also the point given to you (0,4), so the y-intercept (b) is 4

∴ the final equation will be

y = 5x + 4

What is the Slope of a Line?

The slope of a line, otherwise called the slope is characterized as the worth of the steepness or the heading of a line in a direction plane. Incline can be determined utilizing various techniques, given the condition of a line or the directions of focuses lying on the straight line.

In Mathematics, a slope of a line is the adjustment of y-coordinate as for the adjustment of x direction. The net change in y-coordinate is addressed by Δy and the net change in x-coordinate is addressed by Δx. Where "m" is the slant of a line. In this way, tan θ to be the slope of a line.

Learn more about Slope of a line here

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