A line with slope -2/3 passes through the point (-12,16) What is the X-intercept

1 answer:

4 0

to find the x-intercept of a function, we simply set y = 0 and then solve for "x", so, let's first find the equation of it and then set y = 0.

$\bf (\stackrel{x_1}{-12}~,~\stackrel{y_1}{16})~\hspace{10em} slope = m\implies-\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-16=-\cfrac{2}{3}[x-(-12)] \\\\\\ y-16=-\cfrac{2}{3}(x+12)\implies \stackrel{\stackrel{y}{\downarrow }}{0}-16=-\cfrac{2}{3}x-8\implies -8=-\cfrac{2x}{3} \\\\\\ -24=-2x\implies \cfrac{-24}{-2}=x\implies 12=x \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12,0) ~\hfill$

You might be interested in

If AB is 12, what is the length of A'B'?

lukranit [14]

Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:

$\frac{BC}{B^{\prime}C}=\frac{AC}{A^{\prime}C}=\frac{AB}{A^{\prime}B^{\prime}}$

Replacing with data:

$\begin{gathered} \frac{9}{6}=\frac{12}{A^{\prime}B^{\prime}} \\ 9\cdot A^{\prime}B^{\prime}=12\cdot6 \\ A^{\prime}B^{\prime}=\frac{72}{9} \\ A^{\prime}B^{\prime}=8 \end{gathered}$

7 0

9 months ago

What is the definition of constant

Pie

Answer: If you mean the math definiton then a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.

7 0

3 years ago

jodi walks 35 minutes a day if she walks for 240 days ,how many minutes altogether does jodi walk ??????

Ann [662]

To answer that question, you need to multiply 35 minutes × 240 days.

So:
35
× 240
_________
8400 minutes,

So Jodi walked a total of 8400 minutes

I hope this helped :)

8 0

3 years ago

if a rental car costs Caden $35 for the day, plus $0.33 per mile and his total bill was $78, how many miles did he drive?

Digiron [165]

78-35= 43
43/.33= 130.30

130.3 miles

7 0

2 years ago

Need Help on this assignment ASAP!

allsm [11]

The answer is y=(1/2)x -5

You are given the slope and a core donate pair so you plug them in to the equation. 2=x. -4=y. And (1/2)= m

Then work out like a one step equation

7 0

3 years ago