Write an equation in slope intercept form for a line that passes through the origin with a slope of 3/2

y = (3/2)x

m = 3/2 is the slope

(x1,y1) = (0,0) is the point we want the line to go through, aka the origin

Use point slope form, plug in the given values, and convert to slope intercept form

y - y1 = m(x - x1) point slope form

y - 0 = (3/2)*(x - 0) substitution

y = (3/2)x final answer in slope intercept form

answer: 2530

hope this

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: