To find the slope of a linear equation, you need to put it into Slope-Intercept form. Which is y=mx+b. So you will have to rearrange it to this form. So you currently have 2x+5y=-1. Move the 2x to the other side by subtracting. Now you have 5y=-2x-1. You need to get one y, so you divide the whole equation by 5 to get y=-2/5x-1/5. The slope is mx, so it is -2/5x.
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Slope is 2.
For the line 2x + y = 8 , the slope equals ( -2 ) so the required slope of the line which is perpendicular to it is equal to (+1/2 )
2x+y = 10 or y = -2x + 10 so the slope is -2
answer is y=(4/3)-(2x/3)
the slope is - 2 and the y intercept is 4