Question

the line passing through point (1,2) with slope 3

Answer 1

To find the equation of the line passing through the point (1,2) with a slope of 3, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values (1,2) and m = 3 into the equation, we have:

y - 2 = 3(x - 1)

Now, we can simplify the equation:

y - 2 = 3x - 3

Adding 2 to both sides of the equation:

y = 3x - 1

Therefore, the equation of the line passing through the point (1,2) with a slope of 3 is y = 3x - 1.