Question

Find a point on the line and the line's slope.
y+2=-1/2(x+7)
point on the line = (_,_)
slope=

Answer 1

To find a point on the line, we can set one of the variables to a specific value and solve for the other variable.

Let's set x = 0 (you can choose any value for x):
y + 2 = -1/2(0 + 7)
y + 2 = -1/2(7)
y + 2 = -7/2
y = -7/2 - 2
y = -7/2 - 4/2
y = -11/2

Therefore, a point on the line is (0, -11/2).

To find the slope of the line, we can rewrite the equation in slope-intercept form (y = mx + b), where m is the slope:
y + 2 = -1/2(x + 7)
y = -1/2x - 7/2 - 2
y = -1/2x - 11/2

Comparing this with y = mx + b, we see that the slope (m) is -1/2.

Therefore, a point on the line is (0, -11/2) and the slope of the line is -1/2.