Question

PLEASE EXPLAIN HOW YOU SOLVE THIS
PLS HELPPPPP
(image included btw)

Answer 1

m = -63

b = 825

Explanation:

First, the slope intercept form of a line is
y = mx + b
where m = slope and b = y-intercept

The slope is also referred to as rise/run ie the ratio of the change in y values to the corresponding change in x values for two points

The y-intercept is y value where the line crosses the y-axis

For two points on the graph (x1, y1) and (x2, y2), the slope is given by the equation :

`m=(y2-y1)/(x2-x1)`

The two indicated points are (4, 699) and (8, 321)

So slope

`m = (321 - 699)/(8 - 2)`

`m = (-378)/(6)`

`m = -63`

Therefore the equation of the line is y = mx + b

To find the y-intercept, b, plug in any of these point values into the above equation and solve for b

Let's choose point(8, 321)

We have
y = -63x + b

Substituting for y = 321 and x = 8 gives us
321 = -63(8) + b

Switch sides
-63(8) + b = 321
-504 + b = 321

Add 504 to both sides to get
b = 321 + 504 = 825

So b = 825