Answer:
y = 3x - 2
Step-by-step explanation:
Pre-Solving
We are given that a line passes through the point (2,4) and has a slope (m) of 3. We want to write the equation of this line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.
Solving
As we are already given the slope of the line, we can substitute that in y=mx+b.
y = 3x + b
Now, we need to find b.
As the equation passes through (2,4), we can use its values to help solve for b.
Substitute 4 for y and 2 for x.
4 = 3(2) + b
Multiply.
4 = 6 + b
-2 = b
Substitute -2 as b.
y = 3x - 2
