Question

A line has a y-intercept of 9 and a slope of 3. What is its equation in slope-intercept form?

A) y = 3x + 9
B) y = 9x + 3
C) y = 3x - 9
D) y = 9x - 3

Answer 1

The equation of a line with a slope of 3 and a y-intercept of 9 is y = 3x + 9, which corresponds to Option A.

Step-by-step explanation:

The equation of a line in slope-intercept form is generally written as y = mx + b, where m represents the slope and b represents the y-intercept. Given the slope (m) of 3 and a y-intercept (b) of 9, we can substitute these values into the slope-intercept form to get the equation of the line. Therefore, the equation is y = 3x + 9.

Looking at the options provided, the correct equation that matches the slope of 3 and the y-intercept of 9 is Option A) y = 3x + 9.