159k views
0 votes
Write an equation for the line.

Write an equation for the line.-example-1
User Jorgeh
by
9.0k points

2 Answers

3 votes

Answer:

y = 2x - 2

Explanation:

The equation y = mx + b is a standard form of a linear equation in one variable. It represents a straight line on a graph

In this equation, y is the dependent variable, which is the variable that is being measured or predicted. The independent variable is x, which is the input or cause in the relationship.

The coefficient m is the slope of the line, which tells you the rate of change between the two variables. It represents how much the value of y changes for each unit change in the value of x. A positive slope means that the line goes up as you move from left to right, while a negative slope means that the line goes down.

- Our slope is positive

- slope (m) = rise / run = 2/1 = 2

The constant b is the y-intercept, which is the point where the line crosses the y-axis. It represents the value of y when x is equal to 0.

- Our y-intercept is -2

m is 2 and b is -2, the equation y = 2x - 2 represents a line with a slope of 2 and a y-intercept of -2. This means that for every 1 unit increase in the value of x, the value of y increases by 2 units, and the line crosses the y-axis at the point (0, -2).

Write an equation for the line.-example-1
User JuBaer AD
by
7.4k points
2 votes

Answer:

y = 2x - 2

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 0) ← 2 points on the line

m =
(0-(-2))/(1-0) =
(0+2)/(1) =
(2)/(1) = 2

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = 2x - 2 ← equation of line

User Nabin Bhandari
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories