A line passes through the point (6, -1) and has a slope of 3/2 Write an equation in slope-intercept form

9514 1404 393

  y = 3/2x -10

Step-by-step explanation:

The point-slope equation can be written ...

  y = m(x -h) +k . . . . . for a line with slope m through point (h, k)

Using the given values, this is ...

  y = (3/2)(x -6) -1 = 3/2x -9 -1

  y = 3/2x -10 . . . . . slope-intercept equation

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.