A line that includes the point (2,10) has a slope of 9. What is its equation in slope intercept form

y = 9x - 8

Step-by-step explanation:

The intercept form of the equation of a line is represented by

y = mx + c

Where;

y = value of the y-coordinate at any point on the line

m = the slope of the line =

(change in y) / (change in x)

= (y - y1) / (x - x1)

x = value of the x-coordinate at that point.

c = intercept on the Y-axis in a Cartesian plane

Points are represented as (x, y)

Given a point on the line (2, 10)

(2, 10) corresponds to (x, y)

x = 2

y = 10

Also given, slope, m = 9

Recall m = (y - y1) / (x - x1)

Coordinates at a point on the line were given (2, 10)

y1 = 10

x1 = 2

9 = (y - 10) / (x - 2)

Cross multiply

y - 10 = 9(x - 2)

On expansion,

y - 10 = 9x - 18

To make y subject of formula, add 10 to both sides of the equation

y - 10 + 10 = 9x - 18 + 10

y = 9x - 8

y = 9x - 8 is the equation in slope form.

i used to know but i learned it a long time ago sorry

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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