Write the equation of the line that passes through the points (−6,6) and (0,9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Q. Write the equation of the line that passes through the points (−6,6) and (0,9). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.Answer:
Find Slope: First, we need to find the slope of the line using the two given points (−6,6) and (0,9). The slope m is calculated using the formula m=x2−x1y2−y1.
Calculate Slope: Using the points (−6,6) and (0,9), we plug them into the slope formula: m=0−(−6)9−6=63=21.
Write Equation: Now that we have the slope, we can use one of the points and the slope to write the equation in point-slope form. The point-slope form is y−y1=m(x−x1), where m is the slope and (x1,y1) is a point on the line.
Use Point and Slope: We can use the point (0,9) and the slope 21 to write the equation. Plugging these into the point-slope form, we get y−9=(21)(x−0).
Simplify Equation: Simplifying the equation, we get y−9=(21)x. This is the equation of the line in point-slope form.
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