LOOK AT THE IMAGE ABOVE PLEASE ANSWER I NEED THIS NOW!! PLEASE SHOW FULL WORK PLEASE
1 answer:
okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like
(-3/2)-6+n=4 you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y
b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so
(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y
You might be interested in
Answer:
yes
Step-by-step explanation:
To figure out if a point works with it's equation, you should replace the x and y with the point you got
-8 > 3(-5)+6
-8 > -15 +6
-8 > -9
Since -8 is bigger than -9, point (-5,-8) is true to the equation.
and as seen in the graph I have attached, the point does infact reside in the shaded in area. If you haven't learned how to graph this type of equation, you may disregard the graph :)
If you have any questions at all, don't be afraid to ask :)
