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QUESTION IMAGE

graph the line with slope -6 and y-intercept 6.

Question

graph the line with slope -6 and y-intercept 6.

Explanation:

Step1: Write slope-intercept form

The slope-intercept formula is $y = mx + b$, where $m=-6$ (slope) and $b=6$ (y-intercept). So the equation is $y = -6x + 6$.

Step2: Find two points on the line

  • When $x=0$, $y = -6(0) + 6 = 6$, so point (0,6).
  • When $x=1$, $y = -6(1) + 6 = 0$, so point (1,0).

Step3: Graph the line

Plot (0,6) and (1,0) on the grid, then draw a straight line through these two points.

Answer:

The line can be graphed by plotting two points: (0,6) and (1,0), then drawing a straight line through them.