Write an equation of the line with the same slope as the line given by 5x + 2y = 8 and the same y-intercept as the line given by 3x - 7y = 10

In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8slope (m)  is -5/2

3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7y int (b) = -10/7

so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form