Question 710836
Draw a graph and plot the following lines on the graph. The lines passes through the point (-2,7) and has a y-intercept of 4. Find its slope. Does this line pass through the point (8,-8).
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Equation of a line: y=mx+b, m=slope, b=y-ntercept
For given line:
7=m*-2+4
-2m=3
m=-3/2
Equation: y=-3x/2+4
plug in coordinates of point (8,-8)
-8=-3*8/2+4
-8=-12+4
-8=-8
This line passes through the point (8,-8).
see graph below:
{{{ graph( 300, 300, -10, 10, -10, 10,-3x/2+4) }}}