A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

where two points that the line passes through are and

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

Therefore, the slope of the line is 3. Plug this into

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into

I hope this helps!

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