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Answer:
Equation of line u in slope-intercept form is:
Step-by-step explanation:
Equation of line t : y = -2x + 9.
We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)
The equation must be in slope-intercept form.
The general equation of slope-intercept form is: where m is slope and b is y-intercept
Finding Slope:
If two lines are perpendicular, their slopes are opposite i.e
Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)
Slope of line u:
So, we get Slope of line u: m=
Finding y-intercept:
Using slope m= and point(-10,4) we can find y-intercept
Equation of line u:
So, equation of line u, having slope m= and y-intercept b=9, we get:
So, Equation of line u in slope-intercept form is: