Answer:
y = 5x - 27
Step-by-step explanation:
Given: point on a line (
5
,
−
2
)
with slope, m = 5
There are different ways to find the line equation.
Using the slope intercept form: y=mx+b
y=5x+b
Plug in the point's x&y values and solve for the y-intercept (0,b)
−2=5(5)+b
−2=25+b
−2−25=b
−27=b
Line equation: y=5x−27
Using the point slope form: y−y1=m(x−x1)
Plug in the point's xy values into x1,y1y−−2=5(x−5)
Simplify and distribute:
y+2=5x−25
y=5x−25−2
y=5x27