Answer:
y = 6x - 2
Step-by-step explanation:
We will use the slope-intercept form of a line to help us. We know the slope, we need to determine the y-intercept. To find this, we need an x and y on the line and the slope. Fortunately, they have given us all of the information. An ordered pair is in the form (x,y) So we will use x = 1 and y = 4 from the point they have given us (1,4) They have also given us the slope of 6. We will plug this all into our equation and solve for b the y-intercept.
y = mx + b
4 = 6(1) + b
4 = 6 + b Subtract 6 from both sides of the equation.
-2 = b
Now, write the equation
y = mx + b
y = 6x -2