Answer:
y = (-3/4)x + 7/4
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for parameters of equation of line </em>
<em>(solve for M and b)</em>
That equation passes 2 points, which are represented in form of (x, y), (5, -2) and (-3, 4).
Substitute these values of x and y into the original equation in step 1:
-2 = 5M + b
4 = -3M + b
<em>Step 3: Solve the system of equations in step 2 for M and b</em>
Subtract 1st equation from 2nd equation:
6 = -8M
=> M = -6/8 = -3/4
Substitute M back into 1st equation:
=> -2 = 5*(-3/4) + b
=> b = -2 + 15/4
=> b = 7/4
=> The equation of the line that passes through (5, -2) and (-3, 4):
y = (-3/4)x + 7/4
Hope this helps!
:)
Answer:
$73.19
Step-by-step explanation:
79.99-15%+6.5%of 79.99
70%=0.7
140/0.7=200
Therefore, 140 is 70% of 200.
Hope this helps!
Answer:
-18
Step-by-step explanation:
Multiply -11 by 3.
Add -33 to 15.
Answer -18
