Question

Write an equation in point-slope form for the line that satisfies the given set of conditions.

slope of 0, passes through (0,−10)

Answer 1

y-(-10)=0*(x-0)

Step-by-step explanation:

y-y₁=m(x-x₁)

m=0 (0,-10) x₁=0 , y₁=-10

y-(-10)=0*(x-0)

y+10=0

y=-10

Answer 2

The equation in point-slope form for a line with a slope of 0 that passes through (0, −10) is y = −10. This represents a horizontal line crossing the y-axis at −10.

Step-by-step explanation:

To write an equation in point-slope form for a line with a slope of 0 that passes through the point (0, −10), we use the point-slope formula:

y − y1 = m(x − x1)

Where (x1, y1) is a point on the line and m is the slope of the line.

In this case, the slope m is 0, and the point is (0, −10). Plugging these values into the formula:

y − (−10) = 0 ⋅ (x − 0)

This simplifies to:

y = −10

This equation represents a horizontal line that passes through (0, −10) on the y-axis.