Question

Help me with this please and thank you​

Answer 1

Explanation:

a.

1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according

2) the rule:

`(x-X_A)/(X_B-X_A) =(y-Y_A)/(Y_B-Y_A);`

3) if to substitute the coordinates of A&B into the rule, then:

`(x-2)/(6-2)=(y-9)/(17-9); \ => \ (x-2)/(4)=(y-9)/(8); \ => \ (x-2)/(1)=(y-9)/(2);`

or 2x-y+5=0 or y=2x+5 (slope-interception form).

P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.

b. see the attached picture (the required line is red colour);

c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;

d. the domain is (-∞;+∞), the range is (-∞;+∞).