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Slope of the line h is 2.
The equation for line h is y = 2x + 4.
Solution:
General equation of a line is y = mx + c,
where m is the slope of the line and c is the y-intercept.
In the given image, line g and line h are intersecting lines and perpendicular to each other.
Equation of line g is .
Slope of the line g () =
If two lines are perpendicular, then the product of the slopes is –1.
⇒
<u>To find the slope of the line h:</u>
Slope of the line h is 2.
<u>To find the equation of a line h:</u>
Line h passing through the point (0, 4) and slope 2.
Point-slope formula:
The equation for line h is y = 2x + 4.