Answer:
Explanation:
The given equation is 2y = 6x + 8.
To find the slope of the line represented by this equation, we can rewrite the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, let's isolate y in the equation:
2y = 6x + 8
Divide both sides by 2:
y = 3x + 4
Comparing this equation to the slope-intercept form, we see that the coefficient of x, 3, is the slope. Therefore, the slope of the line is 3.
To find the y-intercept, we look at the constant term in the equation, which is 4. The y-intercept is the point where the line crosses the y-axis, which is the value of y when x is 0. In this case, when x is 0, y is 4. So, the y-intercept is (0, 4).
In summary:
- The slope of the line represented by the equation 2y = 6x + 8 is 3.
- The y-intercept of the line is (0, 4).