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:
[tex]y-k=m\mleft(x-h\mright)[/tex]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:
[tex]y-(-5)=-\frac{2}{7}(x-(-14))[/tex]Please note both coordinates are negative and they will become positive when multiplied by the preceding sign.
Operating:
[tex]y+5=-\frac{2}{7}(x+14)[/tex]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
