Respuesta :
The line y=7 is a horizontal line with a slope of 0.
Slope intercept form of
y=mx+b
would be
y-y1=m(x-x1)
m=0 and point of (-1,-10)
y-(-10)=0
y=-10
Slope intercept form of
y=mx+b
would be
y-y1=m(x-x1)
m=0 and point of (-1,-10)
y-(-10)=0
y=-10
An equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .
What is slope?
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The slope of a line is the measure of the steepness and the direction of the line.
What is standard form of slope for line and point ?
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
According to the question
An equation in slope intercept form,
passes through (-1,-10), parallel to y = 7
now,
When line is y = 7
that means , x = 0
and it is also a horizontal line , i.e slope (m) = 0
As, Parallel lines have same slope .
By using slope intercept formula for (-1,-10)
y = mx + b
substituting the value
-10 = 0 + b
b = -10
Therefore, putting values in general equation of slope intercept for any point
y = mx + b
y = -10
Hence, an equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .
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