Identify the slope and y-intercept of the graph of the equation. y = 1/4x + 3
A slope: 1/4 ; y-intercept: 3
B slope: 1/4; y-intercept: –3
C slope: 4; y-intercept: 3
D slope: 4 ; y-intercept: –3
So the equation: y = 1/4x = 3 is in slope-intercept form where, y = mx + b. 'm' is the slope and 'b' is the y-intercept.
Knowing this, we can easily conclude that Choice A is the correct answer.
Why?
Well, just look below. y=1/4x + 3 y = mx + b
We simply match up the values with the slope-intercept formula and see that 3 falls under the y-intercept category, and m, which always equals slope is replaced by 1/4.