Question

Question 9 (1 point)

What is the equation in slope-intercept
form of the line that passes through the
points (7,-4) and (14,-12)?
A
STEPS:
Step 1. Add a table in DESMOS and insert the two
coordinates.
Step 2: Type y1~mx1+b into line two.
Step 3. Scroll down to find your m and b values.
Step 4. Plug in to y=mx+b

Answer 1

To find the equation in slope-intercept form, calculate the slope using the coordinates of the points and substitute the values into the formula y = mx + b.

Step-by-step explanation:

To find the equation in slope-intercept form of the line passing through the points (7,-4) and (14,-12), we can use the formula: y = mx + b. First, we need to find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we get m = (-12 - (-4)) / (14 - 7) = -8/7. Next, we can use one of the points and the slope to find the y-intercept (b) by plugging in the values into the formula y = mx + b and solving for b. Using the point (7,-4) and the slope -8/7, we get -4 = (-8/7)(7) + b. Solving for b, we get b = -4 + 8 = 4. Therefore, the equation in slope-intercept form of the line is y = (-8/7)x + 4.

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