Question

Which equation represents a line passing through the point (8, 9) with a slope of 3?

1) y = 3x + 15
2) y = 3x - 15
3) y = 3x + 3
4) y = 3x - 3

Answer 1

The equation that represents a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Step-by-step explanation:

The equation that represents a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15. To find this equation, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). Plugging in the given values, we have y - 9 = 3(x - 8). Now we can simplify and rearrange the equation to get it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. After simplifying, we get y = 3x - 15.