Which ordered pair is a solution to this equation? 2x + 3y = 16 a. (5, 2) b. (3, 2) c. (11, 1) d. (7, 2) the equation of a line is −2x+5y=−20. what is the x-intercept of the line? enter your answer in the box. what is the slope of the line passing through the points (2, −5) and (4, 1)? a. 3 b. −45 c. 54 d. 2 select all statements that are true about the linear equation. y = 4x − 3 the graph of the equation is the set of all points that are solutions to the equation. the point (0, −3) is on the graph of the equation. point (1, 1) is on the graph of the equation. the graph of the equation is a single point representing one solution to the equation.

Part 1) Which ordered pair is a solution to this equation?

Substitute the values of each pair ordered in the equation to find the solution

A.

The pair ordered A is a solution

B.

The pair ordered B is not a solution

C.

The pair ordered C is not a solution

D.

The pair ordered D is not a solution

therefore

the answer part 1) is

The ordered pair A. is a solution of the equation

Part 2) The equation of a line is

we know that

the x-intercept is when the value of y is equal to zero

so

for

Find the value of x

substitute

therefore

the answer part 2) is

The x-intercept is equal to

Part 3) What is the slope of the line passing through the points and ?

we know that

the slope of the line is equal to

Substitute the values in the formula

therefore

the answer part 3) is

The slope of the line is equal to

Part 4) Select all statements that are true about the linear equation.

Statements

a) The graph of the equation is the set of all points that are solutions to the equation

This statements is True------> Any point that belongs to the graph of the equation is the solution to the equation

b) The point is on the graph of the equation

substitute the values in the equation

----> the point is on the graph of the equation

therefore

This statements is True

c) The point (1, 1) is on the graph of the equation

substitute the values in the equation

----> the point is on the graph of the equation

therefore

This statements is True

d) The graph of the equation is a single point representing one solution to the equation

This statements is False ------> the equation graph are infinite points, representing infinite equation solutions

1. 2x + 3y = 16just a matter of subbing...answer is (5,2) <=

2. to find the x int, sub in 0 for y and solve for x
    -2x + 5(0) = -20
     x = -20/-2
    x = 10or (10,0) <=

3. (2,-5)(4,1)...using slope formula : (y2 - y1) / (x2 - x1)
    slope = (1 - (-5) / (4 - 2) = 6/2 = 3 <=
    
4. y = 4x - 3the first 3 are true

3 and 15. You have to figure out what common factors have and then multiply them together and see what you get.