How do I graph the equations y = −2x + 3 and x + y = 5 using points?

Question

ScanSolve AI Tutor · Accepted Answer

You've sent the same question again. I'll provide detailed instructions on how to draw the graphs using the points we found earlier. a) For the equation y = −2x + 3: Step 1: Recall the points. The points that satisfy this equation are (0, 3) and (1, 1). Step 2: Draw the coordinate plane. Draw an x-axis and a y-axis on your graph paper, intersecting at the origin (0, 0). Label your axes. Step 3: Plot the points. Locate and mark the point (0, 3) on the y-axis. Locate and mark the point (1, 1) by moving 1 unit to the right from the origin and 1 unit up. Step 4: Draw the line. Use a ruler to draw a straight line that passes through both plotted points (0, 3) and (1, 1). Extend the line beyond these points in both directions. This is the graph of y = −2x + 3. b) For the equation x + y = 5: Step 1: Recall the points. The points that satisfy this equation are (0, 5) and (5, 0). Step 2: Draw the coordinate plane. Draw an x-axis and a y-axis on your graph paper, intersecting at the origin (0, 0). Label your axes. Step 3: Plot the points. Locate and mark the point (0, 5) on the y-axis. Locate and mark the point (5, 0) on the x-axis. Step 4: Draw the line. Use a ruler to draw a straight line that passes through both plotted points (0, 5) and (5, 0). Extend the line beyond these points in both directions. This is the graph of x + y = 5.

Point	x	y
y-intercept	0	3
x-intercept	1.5	0

How do I graph the equations y = -2x + 3 and x + y = 5 using points?

Step-by-step solution

Part a· 4 steps

Recall the points.

Draw the coordinate plane.

Plot the points.

Draw the line.

Part b· 4 steps

Recall the points.

Draw the coordinate plane.

Plot the points.

Draw the line.

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