Question

write a linear equation using the two coordinates of (3,19), and (5,23)

Answer 1

Slope intercept equation:

y= mx+b

Where:

m= slope

b= y.intercept

Apply the slope formula:

$m=\frac{y2-y1}{x2-x1}$

Use the coordinates given:

(x1,y1) = (3,19)

(x2,y2) = (5,23)

Replace

$m=\frac{23-19}{5-3}=\frac{4}{2}=2$

So far we have:

y=2x+b

Replace (x,y) by a coordinate point (5,23) and solve for b:

23 = 2(5)+b

23= 10+b

23-10= b

13 = b

Final equation:

y= 2x+13