ANSWER: y = 1
STEPS:
first, find the slope by using the formula
which is also represented as m
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where from point (-8, 1) x1 is -8 and y1 is 1
then from point (7, 1) x2 is 7 and y2 is 1
so we substitute into the formula
[tex] \frac{1 - 1}{7 - ( - 8)} = \frac{0}{7 + 8} = \frac{0}{15} [/tex]
[tex]m = \frac{0}{15} [/tex]
Then we solve for the equation of the line by using the formula
[tex](y - y1) = m(x - x1)[/tex]
but we have only y1, m and x1 so we substitute given us
[tex](y - 1) = \frac{0}{15} (x - ( - 8))[/tex]
but also, we must get rid of the fraction 0/15
so we multiply through by the denominator 15
[tex]15 \times (y - 1) = 15 \times \frac{0}{15} (x - (8))[/tex]
we get
[tex]15(y - 1) = 0(x - ( - 8))[/tex]
now we expand all brackets
[tex]15y - 15 = 0[/tex]
but we want the equation so we make y stand alone
[tex]15y = 15 \\ \\ \frac{15y}{15} = \frac{15}{15} \\ \\ y = 1[/tex]
the equation of the line is y=1
