Question

Slope is -2/7 and (-14,-5) is on the line.

Answer 1

The equation of a line

There are several forms in which a line can be expressed. One of the most-used is the point-slope form. Its equation is as follows:

`y-k=m\mleft(x-h\mright)`

Here, m is the slope of the line, and (h,k) is the point it passes through.

We are given the slope m=-2/7 and the point (-14,-5). Substituting into the given equation, we have:

`y-(-5)=-(2)/(7)(x-(-14))`

Please note both coordinates are negative and they will become positive when multiplied by the preceding sign.

Operating:

`y+5=-(2)/(7)(x+14)`

This is the equation of the line in point-slope form

We are required to use the slope-intercept form.

To convert to the required form, we need to eliminate the parentheses and simplify