What is the equation of the following line written in slope-intercept form? a y = -3/2x - 9/2 b y = -2/3x + 9/2 c y = 3/2 x - 9/2

 The correct option is

(A)

Step-by-step explanation:  We are given to find the equation of the graphed straight line in slope-intercept form.

From the graph, we note that

the straight line passes through the points (-3, 0) and (-1, -3).

The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by

So, the slope of the graphed line will be

Since the line passes through the point (-3, 0), so its equation is given by

Thus, the required equation of the graphed line in slope-intercept form is

Option (A) is CORRECT.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.