Answer:
-7/2
Explanation:
The slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]where m = the slope of the line
b = y-intercept of the line
Given the below equation;
[tex]5x-2y=7[/tex]We have to rewrite the given equation in the slope-intercept form as shown below;
[tex]\begin{gathered} -2y=-5x+7 \\ y=\frac{-5x}{-2}-\frac{7}{2} \\ y=\frac{5}{2}x-\frac{7}{2} \end{gathered}[/tex]Comparing the above equation with the slope-intercept equation, we can see that the y-intercept(b) is -7/2.