Question

Write the equation of a line that goes through point (0,8) and has a slope of 0

a. x=-8
b.x=0
c.y=-8
d.y=0​

Answer 1

i think the answer is B it would be a vertical line with the rise/run for finding slope

Answer 2

The equation of a line that goes through point (0,-8) has a slope of 0 is
`\bold{y=-8}`

Option - c

Solution:

Given, the slope of line passing through (0, -8) is 0

Point- slope form of a line is
`y - y_1 = m (x - x_1)`

where m is the slope;
`y_1= -8 \text{ and } x_1= 0`

On substituting the values we get,

`y-(-8)=0* x-0 \rightarrow y+8=0`

`\bold{\Rightarrow y=-8}`

Thus, the required equation is
`y=-8`

Slope:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.