Question

PLEASE HELP ME ANSWER THE QUESTIONNN

Answer 1

Answer:

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