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.
[tex]m = \frac{y_1 - y}{x _1- x} [/tex]
Take,
[tex]x= 32[/tex]
[tex]y=22[/tex]
[tex]x _1=48[/tex]
[tex]y_1 = 17[/tex]
By substitution,
[tex]m = \frac{17- 22}{48- 32} [/tex]
[tex]m = - \frac{5 }{16} [/tex]
we now put the values of m, x and y into the general equation to find the c
[tex]22= - \frac{5}{16}(32)+ c[/tex]
[tex]22= - 5(2)+ c[/tex]
[tex]22 + 10 = c[/tex]
[tex]c = 32[/tex]
Hence the y-intercept of the line is 32
