Find the slope of the line that passes through the following two points: (3,18) and (1,4)Give your answer as a number, rounded to the nearest tenth, if necessary.
Q. Find the slope of the line that passes through the following two points: (3,18) and (1,4)Give your answer as a number, rounded to the nearest tenth, if necessary.
Identify Slope Formula: To find the slope of the line that passes through two points, we use the formula for slope m, which is the change in y divided by the change in x, or m=x2−x1y2−y1, where (x1,y1) and (x2,y2) are the coordinates of the two points.
Assign Coordinate Points: Let's assign the points as follows: (x1,y1)=(3,18) and (x2,y2)=(1,4). Now we can plug these values into the slope formula to calculate the slope.
Calculate Slope: Using the slope formula, we get m=(4−18)/(1−3)=(−14)/(−2).
Simplify Fraction: Simplifying the fraction, we get m=7. This is the slope of the line that passes through the two given points.