The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

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: