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7nadin3 [17]
3 years ago
13

Write an equation of a line that has a slope of 7/2 and passes through the point (14,-3). Convert it to slope-intercept form.

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

<h2>          y = ⁷/₂x - 52 </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = ⁷/₂

(14, -3)    ⇒   x₀ = 14,  y₀ = -3

So, the point-slope form of the equation:

y + 3 = ⁷/₂(x - 14)

So::

y + 3 = ⁷/₂x - 49         {subtract 3 from both sides}

y = ⁷/₂x - 52             ←  the slope-intercept form of the equation

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