Question

Write an equation of a line that passes through the point (4,2) with a slope of 1/4​

Answer 1

Slope Intercept Form: y =
`(1)/(4)` x + 1

Point Slope Form: y - 2 =
`(1)/(4)` × (x - 4)

Standard Form: 1x - 4y = -4

Explanation:

Answer 2

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

Explanation:

A linear equation needs two pieces of information: the slope of the line, and its y-intercept. Since we are already given the slope we can plug that into the standard equation format:

y=mx+c, where m=slope and c=y-intercept

y=1/4x+c

Now we just need to find the y-intercept.

To find it we are given a point: (4,2), which we can use to trace back to the y-intercept using the slope. The slope of the line of 1/4. This means that the point before it is located 4 units to the left on the x intercept, and 1 unit lower on the y-intercept. Conveniently, this gives us our y-intercept, as the x values 4-4=0. The y value is 1 (2-1) so our y-intercept is 1!

So now we have our equation:

y=1/4x+1

Hope this helped!