Question

Which of the following is the y-intercept of 5x - 2y = 7

Answer 1

-7/2

Step-by-step explanation:

The slope-intercept form of the equation of a line is generally given as;

`y=mx+b`

where m = the slope of the line

b = y-intercept of the line

Given the below equation;

`5x-2y=7`

We have to rewrite the given equation in the slope-intercept form as shown below;

`\begin{gathered} -2y=-5x+7 \\ y=(-5x)/(-2)-(7)/(2) \\ y=(5)/(2)x-(7)/(2) \end{gathered}`

Comparing the above equation with the slope-intercept equation, we can see that the y-intercept(b) is -7/2.