Question

Find an equation of the line that satisfies the given conditions
Through (5,2) and slope 3

Answer 1

To find the equation of a line given a point and a slope, we can use the point-slope form of a linear equation, which is:

y - y₁ = m(x - x₁)

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

In this case, the given point is (5,2) and the slope is 3. Substituting these values into the point-slope form, we have:

y - 2 = 3(x - 5)

Expanding the equation:

y - 2 = 3x - 15

To isolate y, we can add 2 to both sides:

y = 3x - 13

Therefore, the equation of the line that satisfies the given conditions is y = 3x - 13.