Find the slope and y-intercept for the given equation.2x + 5y = 8

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This equation is in standard form. All of the variable terms are on one side of the equation. The coefficients are all integers. The constant terms are on the other side of the equation.In order to find the y intercept, just plug in x = 0 (the x coordinate of the y-intercept is 0), and then solve for y. 2(0) + 5y = 85y = 8y = 8/5The y intercept is (0, 8/5)The slope is just a rate of change from one point on the line to another. If x = 1, then y = 6/5 (I just plugged in x = 1 into the equation and solved for y.The slope = (6/5 - 8/5) / (1 - 0) = -2/5The other way to find the slope and y-intercept involves "solving" the equation for y.2x + 5y = 8-2x            -2x5y = -2x + 8divide by 5y = (-2/5)x + (8/5)The slope is the coefficient of x.The y-intercept is the constant term.As a teacher, I see that plenty of students can rewrite equations...but they have no idea what they are really doing. Always strive to understand.

m = (-2/5) b = (8/5)

m = (-2,5) b = (85)