Mathematics: Me answer the questionnnx | y32 | 2248 | 1764 | 12what is the y-intercept of the line?

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Me answer the questionnnx | y32 | 2248 | 1764 | - id3222481764124192439, shafferakr6

polarbear3787

12.01.2022

The y-intercept of the line is 32

Step -by -step explanation :

The general form of equation of a line that will pass through the three points is:

y=mx+c

where m is the gradient and c is the y-intercept

Now, find the gradient.

$m = \frac{y_1 - y}{x _1- x}$

Take,

x= 32

y=22

x _1=48

y_1 = 17

By substitution,

$m = \frac{17- 22}{48- 32}$

$m = - \frac{5 }{16}$

we now put the values of m, x and y into the general equation to find the c

$22= - \frac{5}{16}(32)+ c$

22= - 5(2)+ c

22 + 10 = c

c = 32

Hence the y-intercept of the line is 32

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