Question

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

Answer 1

The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is:
`y = (1)/(4)x+6`

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:

`y = mx+b`

Here

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

Putting the value of slope in the equation

`y = (1)/(4)x+b`

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

`5 = (1)/(4)(-4) + b\\5 = -1+b\\b = 5+1\\b = 6`

The equation of line is:

`y = (1)/(4)x+6`

Hence,

The equation of the line that passes through the point (-4,5) and has a slope of 1/4 is:
`y = (1)/(4)x+6`