All categories

3 years ago

The equation y-3--2(x+5) is written in point-slope form. What is the y-intercept of the line?

Mathematics

1 answer:

makvit [3.9K]3 years ago

3 0

We have the equation y - 3 = -2(x + 5)

By this we know that -2 is the slope and (-5, 3) is a point on the graph.

Using slope intercept form (y = mx + b), we can solve for the y-intercept (b).

3 = -2(-5) + b

3 = 10 + b

3 - 10 = 10 - 10 + b

-7 = b

Therefore, the answer is B.

Best of Luck!

You might be interested in

Rolando bought a bag of carrots that weighed 4.07 pounds and a bag of potatoes that weighed 2.88 pounds.How many poumds of veget

Tresset [83]

6.95 pounds of vegetables.

4 0

2 years ago

How many hours in 2 years

galben [10]

In 2 years theirs 17520 in total!

4 0

3 years ago

Read 2 more answers

Answer as many as you can please (write in slope-intercept form)

RoseWind [281]

Answer: See below

Step-by-step explanation:

For the first one, we are already given our slope. All we need to do is find the y-intercept, b.

y=-2x+b

6=-2(-3)+b

6=6+b

b=0

The slope-intercept form is y=-2x.

For the second one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{1-13}{3-(-6)} =\frac{-12}{9}$

Now that we have our slope, we can plug it into our slope-intercept form to solve for b.

$y=-\frac{12}{9} x+b$

$3=-\frac{12}{9}(1)+b$

$-\frac{9}{4} =b$

The slope-intercept form is $y=-\frac{12}{9} -\frac{9}{4}$ .

For the third one, we are already given the slope, so all we have to do is find b.

$y=-\frac{1}{2}x +b$

$-7=-\frac{1}{2} (-4)+b$

$-7=2+b$

$-9=b$

The slope-intercept form is $y=-\frac{1}{2} x-9$ .

For the last one, we need to first find the slope using $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ .

$m=\frac{-8-2}{3-1}=\frac{-10}{2} =-5$

Now that we have our slope, we can plug it into our slope-intercept form and find b.

$y=-5x+b$

$2=-5(1)+b$

$2=-5+b$

$7=b$

Our slope-intercept form is $y=-5x+7$ .

4 0

3 years ago

The wheel of the Singapore Flyer is a circle with a diameter of 150 metres. Calculate the circumference of the wheel. Give your

Andrews [41]

Answer:

circumference is given by πd, where d is the diameter of the circle.

This implies, the circumference= 22/7*150m

=3300/7=471.429m

4 0

2 years ago

Is -5/11 equivalent to -5/-11 ? Why or why not?

faltersainse [42]

No, -(5/11) is equivalent to -5 all over 11 so -5/11. You cannot change the denominator

3 0

2 years ago

Read 2 more answers