To find the intercepts of the line represented by the equation:
y + 5 = 2(x + 1)
We can rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can simplify the equation:
y + 5 = 2x + 2
Subtracting 5 from both sides, we get:
y = 2x - 3
So, the slope of the line is 2.
To find the y-intercept, we can set x = 0 and solve for y:
y = 2(0) - 3
y = -3
Therefore, the y-intercept is (0, -3).
To find the x-intercept, we can set y = 0 and solve for x:
0 = 2x - 3
3 = 2x
x = 3/2
Therefore, the x-intercept is (3/2, 0).