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The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation .
Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is .
So the rule with dividing exponents of the same base is to just subtract the exponents. Using this rule, we solve the equation as such:
Next, assuming that you only want positive exponents, to get from a negative exponent to a positive one the rule is . Using this rule, your final answer is going to be