Respuesta :

Answer:

y = x - 8

Step-by-step explanation:

In the equation for slope, y = mx + b,

your slope being 0 makes the equation 'x' or 0x but x is preffered.

Your why would be -8 because there is no x in the point and it is a negative number.

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

Solution:

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

Point- slope form of a line is [tex]y - y_1 = m (x - x_1)[/tex]

where m is the slope; [tex]y_1= -8 \text{ and } x_1= 0[/tex]

On substituting the values we get,

[tex]y-(-8)=0\times x-0 \rightarrow y+8=0[/tex]

[tex]\bold{\Rightarrow y=-8}[/tex]

Thus, the required equation is [tex]y=-8[/tex]

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.