Question

Show me a image of a graph that is y= 1/2x - 3

Answer 1

I can't attach a raster image here, but you can copy the SVG below into a file (for example graph.svg) and open it in your browser to see a crisp image of the line y = (1/2)x - 3.

Copy everything between the dashed lines into a file named graph.svg and open it.

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<?xml version="1.0" encoding="UTF-8"?>
<svg xmlns="http://www.w3.org/2000/svg" width="600" height="600" viewBox="0 0 600 600">
<rect width="100%" height="100%" fill="white"/>
<!-- coordinate mapping: origin at (300,300), scale = 20 px per unit -->
<g transform="translate(300,300) scale(20,-20)">
<!-- axes -->
<line x1="-12" y1="0" x2="12" y2="0" stroke="#000" stroke-width="0.05"/>
<line x1="0" y1="-12" x2="0" y2="12" stroke="#000" stroke-width="0.05"/>
<!-- ticks on axes (every 1 unit, small lines) -->
<g stroke="#000" stroke-width="0.03">
<!-- x ticks -->
<line x1="-6" y1="0.15" x2="-6" y2="-0.15"/>
<line x1="-4" y1="0.15" x2="-4" y2="-0.15"/>
<line x1="-2" y1="0.15" x2="-2" y2="-0.15"/>
<line x1="2" y1="0.15" x2="2" y2="-0.15"/>
<line x1="4" y1="0.15" x2="4" y2="-0.15"/>
<line x1="6" y1="0.15" x2="6" y2="-0.15"/>
<!-- y ticks -->
<line x1="0.15" y1="-6" x2="-0.15" y2="-6"/>
<line x1="0.15" y1="-4" x2="-0.15" y2="-4"/>
<line x1="0.15" y1="-2" x2="-0.15" y2="-2"/>
<line x1="0.15" y1="2" x2="-0.15" y2="2"/>
<line x1="0.15" y1="4" x2="-0.15" y2="4"/>
<line x1="0.15" y1="6" x2="-0.15" y2="6"/>
</g>

<!-- graph of y = 0.5 x - 3, drawn from x=-12 to x=12 -->
<line x1="-12" y1="-9" x2="12" y2="3" stroke="#c00" stroke-width="0.08" />
<!-- sample points on the line -->
<circle cx="-6" cy="-6" r="0.12" fill="#c00" />
<circle cx="0" cy="-3" r="0.12" fill="#c00" />
<circle cx="6" cy="0" r="0.12" fill="#c00" />
<circle cx="10" cy="2" r="0.12" fill="#c00" />
</g>

<!-- readable labels (placed in pixel coords) -->
<!-- equation label -->
<text x="20" y="30" font-family="Arial" font-size="16" fill="#000">y = (1/2)x - 3</text>

<!-- point labels: convert (x,y) to pixel: px=300+20*x, py=300-20*y -->
<text x="300 + 20*(-6)" y="300 - 20*(-6) + 16" font-family="Arial" font-size="12" fill="#000">(-6, -6)</text>
<text x="300" y="300 - 20*(-3) + 16" font-family="Arial" font-size="12" fill="#000">(0, -3)</text>
<text x="300 + 20*6 + 6" y="300 - 20*0 + 4" font-family="Arial" font-size="12" fill="#000">(6, 0)</text>
<text x="300 + 20*10 + 6" y="300 - 20*2 - 2" font-family="Arial" font-size="12" fill="#000">(10, 2)</text>

<!-- axis labels -->
<text x="580" y="305" font-family="Arial" font-size="12" fill="#000">x</text>
<text x="305" y="20" font-family="Arial" font-size="12" fill="#000">y</text>
</svg>
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Notes:
- Key points: y-intercept is (0, −3); x-intercept is (6, 0). Slope = 1/2 (line rises 1 for every 2 across).
- If you'd prefer a PNG or want me to generate and attach a raster image here, tell me the image dimensions (pixels) and I can produce a downloadable file.