Find the equation of a line that passes through (1,5) and has a slope of 3
1.Find Slope
m=
2. Pick a point
3. Plug in AND solve for b
y=mx+b
b=
4. Write the equation using m and b from step 1 and 2
1. The slope is given as 3.
2. The point given is (1, 5).
3. Plug in the values into the equation y = mx + b:
5 = 3(1) + b
Simplify and solve for b:
5 = 3 + b
Subtract 3 from both sides:
5 - 3 = b
b = 2
4. The equation can now be written as:
y = 3x + 2