Question

Write the equation of the line, in

standard form Ax+By=C, that has a
slope of -4 and passes through the point
(1, -3).
(Do NOT put any spaces between terms
when you type in your answer below.)

Answer 1

4x + y = 1

Explanation:

Start with the familiar format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

With a slope of -4, we can write:

y = -4x + b

We need to find a value for b that forces the line through point (1,-3). This is done by entering this point in the equation and solving for b:

y = -4x + b

-3 = -4*(1) + b

b = 1

The equation is y = -4x + 1, This can be rewritten as:

4x + y = 1

Se attached graph.