PLEASE ANSWER THIS IS TIMED

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
y = negative 3 x minus 5
y = negative 3 x + 5
y = 3 x minus 5
y = 3 x + 5

The equation of the line is y = -3x + 5 "i.e. negative 3x + 5"

Step-by-step explanation:

Given

Points (2,-1) and (5,-10)

Required

Equation of the line

The equation of a line is usually of the form y = mx + b

where m is the gradient or slope of the line and b is the y intercept.

First, the gradient (m) of the line will be calculated;

From the given points (2,-1) and (5,-10)

By substituting the right values;

becomes

The next step is to calculate the y intercept

Recall that the equation of a line is usually of the form y = mx + b

Substitute in this equation; we have

y = -3x + b

Make b the subject of formula

b = y + 3x

From the given points (2,-1) and (5,-10)

when x = 2, y = -1

Substitute these values in "b = y + 3x"

b = -1 + 3(2)

b = -1 + 6

b = 5

Also when x = 5, y = -10

Substitute these values in "b = y + 3x"

b = -10 + 3(5)

b = -10+ 15

b = 5

Hence, the y intercept is 5 and the gradient is -3

In other words; b = 5 and m = -3

Substitute these values in y = mx + b

y = -3x + 5

Hence, the equation of the line is y = -3x + 5

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.