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33 votes
33 votes
Write an equation for the line.

Write an equation for the line.-example-1
User Jef
by
3.0k points

2 Answers

17 votes
17 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 Dave Houlker
by
3.4k points
18 votes
18 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 Andrew Kloos
by
3.1k points
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