Question

In slope-intercept form, write the equation of the line that is parallel toy= -6x - 22 and passes through (-4,1)

Answer 1

Parallel lines have the same slope.
If you have the equation of a line in the form y = mx + b, then m is the slope.
Line y = -6x - 22 is in y = mx + b form and m = slope = -6
Any line parallel to y = -6x - 22 has slope m = -6
The equation of a line through a point (x1, y1) and with slope m is given by
\[y - y _{1} = m(x - x _{1})\]
For the new line, you have the slope = m = -6, and you have (x1,y1) = (-4,1)
Can you try it now?

Answer 2

im confused??

Answer 3

you have an equation when given slope and a point.
y = y1 = m(x - x1)
You have m and x1,y1.
Insert the values of m, x1, and y1 into that equation, and all you'll heve will be x, y, and numbers. That's your equation.

Answer 4

ohhh ok!! thank you

Answer 5

i think i did it wrong...........
ill show you my work
y=y1=m(x-x1)
y-1-=6(x-(-4)
y=1=-6x-24
+6 +6
y=1=x-30
i did it wrong