Question

Consider the following equation.

1−2y=−5−2x
Step 1 of 2 : Find the x- and y-intercepts, if possible.
Step 2 of 2: Graph the equation

Answer 1

Explanation:

To find the x-intercept, we set y = 0 and solve for x:

1 - 2(0) = -5 - 2x

1 = -5 - 2x

2x = -6

x = -3

Therefore, the x-intercept is (-3, 0).

To find the y-intercept, we set x = 0 and solve for y:

1 - 2y = -5 - 2(0)

1 - 2y = -5

-2y = -6

y = 3

Therefore, the y-intercept is (0, 3).

To graph the equation, we can plot the x- and y-intercepts and connect them with a straight line.

So, the graph of the equation is a line that passes through (-3, 0) and (0, 3).