PLEASE HELP ME write an equation that represents the line (2,-3) (-6,2)

y= -5/8x-1.75 or y=3/4x-1.5 (read explanation)

Step-by-step explanation:

The standered form of an equation for a linear equation is y=mx+b where m=slope and b=y-intercept.

First you want to find the slope, which represents the change in y over the change in x. So using the points you would find the difference between the y values (-3 and 2) which is 5 and the difference between the x values (2 and -6) which is -8. So the slope is 5/-8 which represents the m value in the equation.

Next you need to find b. So you can pick one of the two points and imput those values for x and y, then solve for the missing value of b. For example, -3=-5/8(2)-b. -5/8(2)= -1.25 and then add that to the other side to isolate b and get -1.75. So b= -1.75.

In the final equation x and y would remain variables and you would end up with y=-5/8x-1.75.

The only thing is that the picture you included does not represent the line for the points you listed in the problem. Above I found the equation for the two points not the picture. if you were to solve for the picture you would follow the same steps but use the points (2,-3) and (-2,6) so the answer then would be y=3/4x-1.5.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.

d

step-by-step explanation: