Aline passes through the points (–6, 4) and (–2, 2). what is the equation of the line?

y = -1/2x + 1

work:

let's use slope intercept form, or y = mx + b to represent the equation. (m = slope, b = y-intercept)

first, let's find the slope, or m. to do this, subtract the y values over the x values.

4 - 2 / - 6 - - 2  (next: subtract the values)

2 / - 4 (next: simplify)

1 / -2 (next: write as a fraction)

-1/2

so, the slope is -1/2. let's place this into the equation.

y = -1/2x + b.

okay, so to find b, or the y intercept, plug a value for x and y into the equation and solve.

4 = -1/2(-6) + b  (next: multiply)

4 = 3 + b (next: subtract 3 from both sides)

1 = b

so, let's place that into our equation:

y = -1/2x + 1 , this is your complete equation.

hope this helps and have a great day!

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?