Answer:
3x + 5y = -8
Step-by-step explanation:
to find an equation for a line parallel to 3x + 5y = -1 we need to find its slope because parallel lines have the same slope
so we convert from standard form, Ax+By=C, to slope-intercept form, y=mx+b
where 'm' refers to slope and 'b' is the y-intercept
5y = -3x - 1
y = -3/5x -1/5
now we know the slope is -3/5
we can use the slope and the point (2,-1) to find the y-intercept of our parallel line
-1 = -3/5(-1) + b
-1 = 3/5 + b
-5/5 = 3/5 + b
-8/5 = b
put it all together:
y = -3/5x - 8/5
now convert back to standard form:
multiply each side by 5 to get:
5y = -3x - 8
add 3x to each side to get:
3x + 5y = -8
