Question

Hey, I need some help in math I put the pic down below

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We find the slope with the given points:

$m = \frac {y2-y1} {x2-x1} = \frac {401-450} {14-7} = \frac {-49} {7} = - 7$

Thus, the line is given by:

$y = -7x + b$

We substitute a point to find "b":

$450 = -7 (7) + b\\450 = -49 + b\\450 + 49 = b\\b = 499$

Finally, the equation is:

$y = -7x + 499$

Answer:

$y = -7x + 499$