Respuesta :

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.