Answer:
y= 5x - 18
Step-by-step explanation:
the slope-intercept form equation of the line that passes through
(5, 7) and (8, 22)
To get equation of the line use y=mx+b
where m is the slope and b is the y intercept
(5, 7) is (x1,y1) and (8, 22) is (x2,y2)
[tex]slope m = \frac{y_2-y_1}{x_2-x_1} =\frac{22-7}{8-5} = 5[/tex]
Now find out b using (5,7) and m= 5
y= mx+b
7 = 5(5) + b
7= 25 +b ( subtract 25 from both sides)
b= -18
So equation of the line is y= 5x - 18