3. Write the equation of the line that passes through the point (-4,5) and has a slope of 1/4

The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is:

Step-by-step explanation:

Given information is:

(x,y) = (-4,5)

Slope = m = 1/4

The slope-intercept form of equation of a line is given by the formula:

Here

m is the slope of the line and b is the y-intercept.

Putting the value of slope in the equation

Now to find the y-intercept we will put the point in the equation

The equation of line is:

Hence,

The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is:

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.