Write the slope intercept form of the equation given the two points. through: (1,-3) and (-3,3)

Step-by-step explanation:

slope m= y2- y1 / x2- x1

=3-(-3) / -3-1

= 6/ -4

= -3/2

Since the point (1,-3) is on the line.

x1 = 1, y1= -3

the equation of the line is

y-y1= m(x-x1)

y-(-3)= -3/2(x-1)

y+3 = -3/2x +3/2

y = -3/2x + 3/2- 3

y = -3/2x - 3/2

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: