graph $16x - 4y = 2$.

Explanation:

Step1: Convert to slope - intercept form

Starting with (16x - 4y=2). Subtract (16x) from both sides: (-4y=-16x + 2). Divide each term by (-4): (y = 4x-\frac{1}{2}).

Step2: Find two points

• When (x = 0): Substitute (x = 0) into (y = 4x-\frac{1}{2}), then (y=-\frac{1}{2}). So one point is ((0,-\frac{1}{2})).
• When (x=\frac{1}{2}): Substitute (x=\frac{1}{2}) into (y = 4x-\frac{1}{2}), (y=4\times\frac{1}{2}-\frac{1}{2}=\frac{4 - 1}{2}=\frac{3}{2}). So another point is ((\frac{1}{2},\frac{3}{2})).

Step3: Plot the points and draw the line

Plot the points ((0,-\frac{1}{2})) and ((\frac{1}{2},\frac{3}{2})) on the coordinate plane. Then draw a straight line passing through these two points.

Answer:

Plot the points ((0,-\frac{1}{2})) and ((\frac{1}{2},\frac{3}{2})) and draw a line through them.