Answer:
Explanation:
To find the slope of the line represented by the equation 5x-4y=3(x+3), we can rearrange the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
5x - 4y = 3(x + 3)
5x - 4y = 3x + 9
5x - 3x = 4y + 9
2x = 4y + 9
y = (2/4)x - 9/4
So, the slope of the line is 2/4, which can be simplified to 1/2.
To find the y-intercept, we can set x = 0 in the equation:
y = (1/2)(0) - 9/4
y = -9/4
Therefore, the y-intercept is -9/4.
To find the x-intercept, we can set y = 0 in the equation:
0 = (1/2)x - 9/4
9/4 = (1/2)x
x = (9/4) / (1/2)
x = 9/2
Therefore, the x-intercept is 9/2.