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In the standard (x, y) coordinate plane, what is the y-intercept of the line given by the equation [tex]3x+5y = 8[/tex]?

Sagot :

stradlater
the y-intercept will be [tex] \frac{8}{5} [/tex]

the standard line equation is y = mx + b, where y is the y point, x is the x point, m is the slope, and b is the y-intercept.

to get the y intercept, we need to transform  into the line equation, and caculate out b.

3x + 5y = 8
so 5y = 8 -3x
then y = [tex] \frac{8}{5} [/tex] - [tex] \frac{3}{5} [/tex]x
which  means that [tex] \frac{8}{5} [/tex] = the y intercept.
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