Answer:
y=5x-9
Step-by-step explanation:
Equation of line in slope-intercept form is:
y=mx+c where m denotes slope of line and c denotes y-intercept.
y-intercept is a point on the line where value of x is zero.
Slope is defined as steepness of a line and also called gradient.It is denoted by m.
From question statement ,we observe that
slope=m= 5
y-intercept at (0,-9) which means c=-9.
Putting the value of slope and y-intercept in slope-intercept form,we get
y=(5)x+(-9)
y=5x-9 is equation of line that passes through (0,-9) and has a slope equal to 5.
