Answer:
y = 5x - 7
Step-by-step explanation:
The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = 5. Therefore we have the equation
[tex]y=5x+b[/tex]
Put the coordinates of a given point (2, 3) to the equation:
x = 2, y = 3
[tex]3=5(2)+b[/tex]
[tex]3=10+b[/tex] subtract 10 from both sides
[tex]-7=b\to b=-7[/tex]
Finally:
[tex]y=5x-7[/tex]
