Find the slope-intercept form from the two points (0,8) and (1, 10).

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10): x increases by 1. This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m: y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8

You might be interested in

17. Solve for p in the equation 7p = –63.

never [62]

It’s A

Explanation / when you multiply 7 by -9 you get -63

5 0

3 years ago

Read 2 more answers

About 57 people rent skates at the skating rink each day. It cost $4.25 to rent skates. About how much does the Rink make in ska

seraphim [82]

Answer:1695.75

Step-by-step explanation:

We know that there are 7 days in a week. Since 57 people rent skates each day, we know that 57*7=399 skates are rented each week. Since one skate cost 4.25, we know that 399*4.25 is the cost, which is 1695.75. (If you are not allowed to use a calculator, you can do 400*4.25-4.25, to make it easier to compute)

4 0

3 years ago

Nicole’s friend runs 3/8 of a mile, but her distance is only 3/5 of Nicole’s distance. How far does Nicole run?

salantis [7]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Let distance travelled by Nichol =x

${:}\longrightarrow$ $\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}$