PROBLEM
Write the equation of the line that passes through (0, -6) and (4, 10).

y= 4x-6

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Let's find the gradient, m, first.

Using the above formula,

Subst. the value of m into the equation.

y=4x+c

To find c, substitute a coordinate into the equation.

When x=0, y= -6,

-6= 4(0) +c

c= -6

Thus, the equation of the line is y= 4x -6.

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice