A line passes through the point (10, -4) and has a slope of -1/2. Write an equation in slope-intercept form for this line.

General formula to make slope-intercept form
y - y₁ = m(x - x₁)

From the question, we know that
m = -1/2
(x₁,y₁) = (10,-4)

Put the number to the formula
y - y₁ = m(x - x₁)
y - (-4) = -1/2(x - 10)
y + 4 = -1/2 (x - 10)
y + 4 = (-1/2)x + 5
y = (-1/2)x + 1

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lhmarianateixeira lhmarianateixeira · Answer 2 · 2022-02-10T13:04:07+01:00

In this exercise we have to use slope knowledge to calculate the formula we found for this graph, like this:

[tex]y = (-1/2)x + 1[/tex]

Knowing that the general formula for writing make slope-intercept form is;

[tex]y - y_1 = m(x - x_1)[/tex]

From the question, we know that:

[tex]m = -1/2[/tex]

[tex](x_1,y_1) = (10,-4)[/tex]

Put the number to the formula:

[tex]y - y_1 = m(x - x_1)\\y - (-4) = -1/2(x - 10)\\y + 4 = -1/2 (x - 10)\\y + 4 = (-1/2)x + 5\\y = (-1/2)x + 1[/tex]

See more about slope at brainly.com/question/3605446