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A line passes through the point (-2,4) and has a slope of -6

Write an equation in slope-interact form for this line

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Final answer:

To write the equation of the line in slope-intercept form, we used the formula y = mx + b, replacing m with the slope (-6), and solving for b using the given point (-2,4), resulting in the equation y = -6x - 8.

Step-by-step explanation:

To write an equation in slope-intercept form for a line that passes through the point (-2,4) with a slope of -6, we use the formula y = mx + b, where m is the slope and b is the y-intercept.

Since we already have a point and the slope, we can find the y-intercept by plugging the values into the slope-intercept equation and solving for b.

Step 1: Substitute the point (-2,4) into the equation to get:
4 = (-6)×(-2) + b

Step 2: Simplify and solve for b:
4 = 12 + b

Step 3: Isolate b:
b = 4 - 12
b = -8

Now we have the y-intercept (b), so the slope-intercept form of the equation is:

y = -6x - 8

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