Respuesta :
y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line. This can be obtained by the formula of the slope-intercept form of the line.
What is its equation in slope-intercept form?
- Linear equation is an equation that models a linear function.
In linear equation the variables are raised to the first power.
Example, Linear equation: 2x + 3, Not a linear equation: x² + 5
The graph of a linear equation contains all the ordered pair that are solutions of the equation.
The equation of a line is given by,
y = mx + c, m is the slope of the equation, c is the y intercept
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex], y intercept is the y coordinate of the point where y crosses the y axis.
Here in the question it is given that,
The points (10, -10) and (8, -10) fall on a particular line.
We have to find the equation in slope-intercept form.
Slope of the equation will be,
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] ⇒ m = [tex]\frac{-10 -(-10) }{8 -10 }[/tex] ⇒ m = 0
y-intercept of the equation will be,
y = mx + c ⇒ -10 = 0 + c ⇒ c = -10
The equation of the line in slope-intercept form will be,
y = 0x -10
Hence y = 0x - 10 is the equation in slope-intercept form given that the points (10, -10) and (8, -10) which fall on a particular line.
Learn more about slope-intercept form here:
brainly.com/question/9682526
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