Final answer:
To find the equation of a line with a slope of 2/3 that passes through the point (3,4), we can use the point-slope form of a linear equation.
Step-by-step explanation:
To find the equation of a line with a slope of 2/3 that passes through the point (3,4), we can use the point-slope form of a linear equation. This form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Plugging in the values from the given point (3,4) and the slope 2/3, we get y - 4 = (2/3)(x - 3). Simplifying the equation further, we have y - 4 = (2/3)x - 2.
Finally, we can rewrite the equation in slope-intercept form (y = mx + b) by isolating y. Adding 4 to both sides of the equation, we get y = (2/3)x + 2.