Question

Customer E wants a line that starts at (0, 1). Customer E also wants the line to have an initial slope of 3 and then change to a slope of 5.

Can this equation be possible?

a) Yes, it is possible.

b) No, it is not possible.

Answer 1

Yes, it is possible for a line to start at (0, 1) and have an initial slope of 3 and then change to a slope of 5. The equation of such a line is y = 3x + 1.

Step-by-step explanation:

Yes, it is possible for a line to start at (0, 1) and have an initial slope of 3 and then change to a slope of 5. To find the equation of such a line, we can use the point-slope form:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the point on the line and m is the slope. Substituting (0, 1) as the point and 3 as the initial slope, we can write:

y - 1 = 3(x - 0)

Simplifying, we get:

y = 3x + 1

This equation represents a line that starts at (0, 1) with an initial slope of 3, and then changes to a slope of 5 as x increases.