The required equation of the line is y = (7/4)x + 2.
<h3>What is the Linear equation?</h3>
A linear equation is defined as an equation in which the highest power of the variable is always one.
The given coordinate of the point on the line is ; (-4, -5) and the slope is 7/4
Let the required equation of the line is
⇒ y - y₁ = m [x -x₁]
x₁ = -4, y₁ = -5 and m = 7/4
Substitute values in the equation, we get
y - (-5)= (7/4)(x - (-4))
y + 5 = (7/4)(x + 4)
y + 5 = (7/4)x + (7/4)4
y = (7/4)x + 7 - 5
y = (7/4)x + 2
Therefore, the required equation of the line is y = (7/4)x + 2.
Learn more about the Linear equations here:
brainly.com/question/13738061
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