Question

In slope-intercept form that passes through (1,3) and (0,7).

Y=-4x+7
8. Write an equation in slope-intercept form that passes through (4,2) and (0,-2).
Y=x-2
with the given
In Exerciso

Answer 1

To write an equation in slope-intercept form that passes through the points (4,2) and (0,-2), we can use the point-slope form of a linear equation.

Step-by-step explanation:

To write an equation in slope-intercept form that passes through the points (4,2) and (0,-2), we can use the point-slope form of a linear equation. The formula for point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope. Let's use the point (4,2). The slope between this point and (0,-2) is (2 - (-2))/(4 - 0) = 4/4 = 1. Now, substituting the values into the point-slope form, we get y - 2 = 1(x - 4), which simplifies to y - 2 = x - 4. Rearranging this equation gives the equation in slope-intercept form: y = x - 2.

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