Hey there! I'm happy to help!
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
Have a wonderful day! :D
The slant height, x, is 7.5 mm because you use the pythagorean formula and solve for c, since the you're solving for the hypotenuse which is the longest side.
Just make the equations equal to each other. -0.5x+5=3x-2. Solve for x and find that it is 2, via simple algebra. Since you know x is 2, sub it in in either equation to find y. y should be 4. So the point that fits both equation is (2,4). This shows that the two graphs of these lines will intersect at this exact point.
If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
Is there not more to this problem? maybe thats the final answers
5x - 2 = 13
5x = 13 + 2
5x = 15 (divide both sides by 5 to get x)
5x/5 = 15/5
x = 3
