What information can be used to compare linear relationships? Explain why.
1 answer:
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The equation of the line that is parallel to the given line and passes through the point (-2,2) is:
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:
m = (-3 - (-4))/(0 - (-5)) = 1/5.
Hence the equation is:
When x = -2, y = 2, then:
Hence:
More can be learned about linear equations at brainly.com/question/24808124
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y = - x - 34
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )
m = =
= -
the y-intercept = (0, - 34 ) ⇒ c = - 34
y= - x - 34