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What is the equation in slope-intercept
form of the line that passes through the
points (7,-4) and (14,-12)?
STEPS:

User Hikari
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1 Answer

5 votes

Final answer:

To find the equation in slope-intercept form, we first calculate the slope using the formula and then use the slope-intercept form equation y = mx + b to find the y-intercept and write the equation.


Step-by-step explanation:

To find the equation in slope-intercept form of the line that passes through the points (7,-4) and (14,-12), we need to find the slope of the line first. The slope (m) can be found using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get m = (-12 - (-4)) / (14 - 7) = -8 / 7.

Next, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. We can substitute the slope and one of the given points to find the value of b. Using the point (7,-4), we have -4 = (-8 / 7) * 7 + b. Solving for b, we get b = -4 - (-8) = 4.

Finally, we can write the equation in slope-intercept form as y = (-8 / 7)x + 4.


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User AngusC
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