Answer:
The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is: [tex]y = \frac{1}{4}x+6[/tex]
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:
[tex]y = mx+b[/tex]
Here
m is the slope of the line and b is the y-intercept.
Putting the value of slope in the equation
[tex]y = \frac{1}{4}x+b[/tex]
Now to find the y-intercept we will put the point in the equation
[tex]5 = \frac{1}{4}(-4) + b\\5 = -1+b\\b = 5+1\\b = 6[/tex]
The equation of line is:
[tex]y = \frac{1}{4}x+6[/tex]
Hence,
The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is: [tex]y = \frac{1}{4}x+6[/tex]
