Question

If the line with the slope 5 that passes through the point (-1,3) intersects the x axis at a point, what are the coordinates of this point?

Answer 1

Answer: (-8/5,0)

Step-by-step explanation: If the slope is 5, m = 5

For (-1,3) we have x₀= -1 and y₀ = 3, to find the line equation

y - y₀ = m(x - x₀)

y - 3 = 5(x - (-1))

y - 3 = 5(x + 1)

y - 3 = 5x + 5

y = 5x + 8

A P that intersects the x axis has y = 0

0 = 5x + 8

5x = -8

x = -8/5

P (-8/5,0)