Answer:
To solve the equation 8x = -10y for the slope and y-intercept, we need to first rearrange it into the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, we can divide both sides of the equation by -10, which gives us:
y = (-8/10)x
Simplifying further, we get:
y = (-4/5)x
Therefore, the slope of the line represented by this equation is -4/5. This means that for every increase of 1 in x, y decreases by 4/5.
To find the y-intercept, we can set x to 0 and solve for y:
y = (-4/5)(0)
y = 0
Thus, the y-intercept is 0.
In summary, the slope of the line represented by 8x = -10y is -4/5 and its y-intercept is 0.
Explanation:
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