Question

Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form

Answer 1

Standard for of a equation
\[y=mx+c\]
m=slope
c=intercept on y-axis
here slope is given as 2, so m=2
\[y=2x+c\]
The line passes through (-1,5 )
so y=5 and x=-1
\[5=2(-1)+c\]
we get
\[5=-2+c\]
add 2 to both sides, we get
\[c=7\]
so
\[y=2x+7\]
in standard form
\[2x-y=-7\]

Answer 2

I know what standard form is directrix (rolls eyes). I wasn't done posting, but okay.