3 years ago

What are the x and y- intercepts for the line 4(y+3)=−2(x+6)?

1 answer:

5 0

X - intercepts y = 0, then
<span>4(0+3)=−2(x+6)
12 = -2x -12
2x = -24
x=-24/2
x = -12

</span>y- intercepts x = 0 then
4(y+3)=−2(0+6)
4y +12 = -12
4y = -24
y = -24/4
y = -6

You might be interested in

Find an equation of the line that is perpendicular to the graph of 2x+5y=5 and contains the point of intersection of the graphs

gavmur [86]

Answer:

5(x+1) -2(y-3) = 0

Step-by-step explanation:

For a given line ax+by=c and point (h, k), a perpendicular line through the point can be written as ...

b(x-h) -a(y-k) = 0

A graphing calculator shows the point of intersection of the graphs of the two lines to be (x, y) = (-1, 3), so the line perpendicular to 2x+5y=5 through that point can be written ...

5(x+1) -2(y-3) = 0

_____

In the attached graph, the requested line is shown in black.