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3 years ago

I need help To find gradient and y-intercept...

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer:

a) the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

$Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}$

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

$Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}$

So, the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

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Someone please help ASAP will give brainliest

Nimfa-mama [501]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b".

If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.

y = mx + 1

To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:

$slope=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right.

If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is $\frac{1}{1}$ or 1

y = 1x + 1

y = x + 1

4 0

3 years ago

Read 2 more answers

Which of the following expressions are equivalent to (x + 0) + y + 0

zzz [600]

answer c. none of the above

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3 years ago

Match the following equation to the correct situation.

uranmaximum [27]

Answer:

The equation given in the question matches the situation C.

Step-by-step explanation:

A. The amount that Cindy paid for books was 15% of p i.e. it is only $\frac{15p}{100} = 0.15p$

B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.

Therefore, the total charity payment after savings = p - 15% of p = $p - \frac{15p}{100} = p - 0.15p = 0.85p$

C. The amount that Sandy paid for a shirt with 15% tax on p.

Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p = $(p + \frac{15p}{100}) = p + 0.15p = 1.15p$

Hence, the equation given in the question matches the situation C. (Answer)

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3 years ago

I don't know how to do this!!

saw5 [17]

3x-1=77 (due to exterior alternate angle)
Or, 3x=77-1
or, 3x=76
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or, x=25.3

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2 years ago

Can someone please help? A ferris wheel is drawn on a coordinate plane so that the first car is located at the point (0,10).

Ugo [173]

Answer:

(10,0)

Step-by-step explanation:

When it comes to rotations by 90 degrees or 270 degrees, you just have to switch the order of x- and y- coordinates. Then find the sign by considering which quadrant will it be. In this case, it is originally on the positive y-axis and now it would be +ve x-axis.

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3 years ago