How do you graph the line #y=1/4x+4#?

Question

Abigail Allen · Accepted Answer

Determine 2 or 3 coordinates by evaluating the expression of values of #y# corresponding to arbitrary values for #x#;
plot these coordinates on the Cartesian plane;
draw a line through the points.

Given #y=1/4x+4# Some convenient, arbitrary values for #x# might be multiples of #4# (to avoid fractions), #{: (y=1/4x+4,,), (,color(white)("X")underline(x),color(white)("X")underline(y)), (,-4,color(white)("X")3), (,color(white)("X")0,color(white)("X")4), (,color(white)("X")4,color(white)("X")5) :}# Plot the coordinates #(-4,3), (0,4), and (4,5)# graph{((x+4)^2+(y-3)^2-0.02)(x^2+(y-4)^2-0.02)((x-4)^2+(y-5)^2-0.02)=0 [-5.76, 6.724, 0.15, 6.393]} Graph{((x+4)^2+(y-3)^2-0.02)(x^2+(y-4)^2-0.02)((x-4)^2+(y-5)^2-0.02)(y-1/4x-4)=0 [-5.76, 6.724, 0.15, 6.393]} is then created by drawing a line through these points.

Eva Abramson · Answer

undefined To graph the line y = 1/4x + 4:

1. Plot the y-intercept at (0, 4).
2. Determine the slope, which is 1/4. 
3. Use the slope to find another point. Move 1 unit to the right (because the slope is 1/4) and 4 units up from the y-intercept to find the next point.
4. Draw a straight line through the two points to represent the graph of the equation y = 1/4x + 4.