To change a decimal to a fraction you need to first place the decimal over 1. Next, for each number behind the decimal, you will multiply by a multiple of 10. Since there are 2 numbers behind the decimal, it's 100. Therefore,
92.96 x 100 = 9296
1 x 100= 100
Your new fraction is 9296/100. Now we simplify it. I'm going by 2's so it may take a bit.
Simplifying it twice by 2's your answer would be:
2324/25
Consider what the slope of this line would be. Slope is rise/run; this line rises 7 (5 - (-2)) and runs 0 (0 - 0). This means that the slope would be 7/0. Dividing by zero is not possible, therefore, it cannot be written in slope-intercept form.
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
