Will give brainiest if they helped me with this. Please do

5 and 5b: y=-2x+10

5a: y-2=-2(x-6)

Step-by-step explanation:

We can use the mentioned data points to identify the slope. Time will always the x coordinate/axis, so gallons will be the y coordinate/axis. As you probably already know, slope is rise over run, so we can measure the change in y over the change in x, or we can do . When we plug in our points, (2,6) and (5,0), we get  , or , or , or simply -2. So our slope is -2.

We can use our y-intercept (which is (0,10), as mentioned in the attached graph and table) to make the equation, in slope-intercept form, This can answer both question 5 and 5b. Remember that slope-intercept form is written using the format y=mx+b, where x any given x-coordinate, y is the corresponding y-coordinate, m is the slope and b is the y-intercept.

To put this equation in point-slope form, one must first remember that point-slope form is written in the format , using the coordinates of any given coordinates on the same line, except for the y intercept. m also represents slope in this equation. So for this one, we can easily use (2,6). we can plug in these coordinates to get the equation y-2=-2(x-6).

Hope this helps.

Graph and table were created using Desmos dot com graphing calculator.

56

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.