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3 years ago

What is the slope of the line? y+3=-4(x+7)

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

We don't really have to put this in slope intercept form; it would clearly end up as

y = -4x + something

so we know the slope is -4.

Answer: C) -4

lora16 [44]3 years ago

5 0

The short answer is c

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The price of tomatoes went from $1.12 per pound to $1.96 per pound in 3 years. find the rate of change of the price of tomatoes.

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$\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{price}\\ \cline{1-2} 0&1.12\\ 3&1.96\\ \cline{1-2} \end{array}~\hspace{10em} (\stackrel{x_1}{0}~,~\stackrel{y_1}{1.12})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1.96}) \\\\\\ \stackrel{\textit{rate of change}}{slope = m\implies} \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1.96-1.12}{3-0}\implies \cfrac{0.84}{3}\implies 0.28$

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3 years ago

Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4 y=

stellarik [79]

Correct answer: y = $\frac{1}{3}$ x + 2

To find out the slope, you would need to remember this slope formula: $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as $x_{1}$ and $y_{1}$ , and (0, 2) as $x_{2}$ and $y_{2}$ . Now we can plug these numbers into the slope formula to find out the slope:

m = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ → $\frac{2-3}{0-3}$ → $\frac{-1}{-3}$ → $\frac{1}{3}$

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = $\frac{1}{3}$ (3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = $\frac{1}{3}$ and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = $\frac{1}{3}$ x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

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3 years ago