The problem in the image asks you to write the equation of a line in function notation, given the slope and y-intercept. Here is the information provided:

• Slope $m = 6$
• y-intercept $(0, 7)$

The general form of a linear equation is: $f(x) = mx + b$ Where:

• $m$ is the slope
• $b$ is the y-intercept (the value of $y$ when $x = 0$)

From the problem:

• $m = 6$
• $b = 7$

So, substituting these values into the formula: $f(x) = 6x + 7$

The equation of the line is: $f(x) = 6x + 7$

This matches the format requested by the problem.

Would you like any further details or explanations? Here are some related questions:

1. How can you find the slope of a line from two points?
2. What is the difference between slope-intercept form and point-slope form?
3. How do you graph a linear equation using slope and y-intercept?
4. How can you convert a linear equation from standard form to slope-intercept form?
5. What does it mean when the slope of a line is zero or undefined?

Tip: When given a y-intercept, remember it’s the point where the line crosses the y-axis, so the x-coordinate will always be zero!