All categories

3 years ago

5-13) -10-15 what’s the equation for the line that passes through points (5,-3) and (-10,15)

Mathematics

1 answer:

umka2103 [35]3 years ago

7 0

Answer: y=-6/5x+3

Step-by-step explanation:

To find the equation of the line that passes through the points, you want to first find the slope by using the formula $m=\frac{y_2-y_1}{x_2-x_1}$ , then solve for the y-intercept.

$m=\frac{15-(-3)}{-10-5} =\frac{18}{-15} =-\frac{6}{5}$

Now that we have the slope, we can plug in a given point and solve for the y-intercept.

15=-6/5(-10)+b [multiply]

15=12+b [subtract both sides by 12]

b=3

Now that we have the y-intercept, we know the equation is y=-6/5x+3.

You might be interested in

You roll two dice, what is the probability of rolling two even numbers?

Karolina [17]

The probability of rolling an even number on the first dice is 1/2(3/6)
The probability of rolling an even number on the first dice is also 1/2 (3/6)
So the probability of getting two even numbers on both dice is 1/2*1/2=1/4

4 0

3 years ago

Help solve this I’m not sure if my answer was right. Pythagorean theorem.

Ganezh [65]

Answer:

C. since 8, 15, 17 are pythagorean triples

8 0

3 years ago

The equation of the graphed line in point-slope form is _______, and its equation in slope-intercept form is .

Ivenika [448]

Answer:

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

Slope-intercept form is:

$y=-0.6x+1.8$

Step-by-step explanation:

Point-slope form equation line passing through points $(x_1,y_1)(x_2,y_2)$

Slope = m = $\frac{y-2-y_1}{x_2-x_1}$

slope-intercept form is:

y = mx +c

where : c = intercept of on axis

$(y-y_1)=m\times (x-x_1)$

Equation of line passing through (-2,3) and (3,0).

$m=\frac{0-3}{3-(-2)}=-0.6$

$(y-3)=-0.6\times (x-(-2))$

Point-slope form equation line

$(y-3)=(-0.6)\times (x+2)$

For slope-intercept form open the brackets of Point-slope form equation l:

$y-3=-0.6x-1.2$

So, the slope-intercept form is:

$y=-0.6x+1.8$

7 0

3 years ago

What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?

faltersainse [42]

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

8 0

3 years ago

Read 2 more answers

What advice would you give to a person having problems in geometry overall.( I understood algebra but gemotery is so much more d

Ket [755]

I am currently taking Geometry right now, so I understand where you are coming from. I think it's just a matter of approaching it differently. My teacher always says she is trying to get us to think, not memorize. If you think a tutor would help you, then go for it! Just make sure you are learning the material not just for the grade, but so that you actually understand it. That's the most important part. Good luck!

8 0

3 years ago