An equation in slope intercept form the line which goes through the points (0,3) and (4,-5) is;
⇒ 2x + y = 3
Here,
The line passes through the points (0,3) and (4,-5).
We have to find an equation in slope intercept form the line which goes through the points (0,3) and (4,-5).
What is Equation of line?
The equation of line passes through the point (a, b) with slope m is;
y - b = m (x - a)
Now,
The line passes through the points (0,3) and (4,-5).
Hence, The slope is given as;
[tex]m = \frac{y_{2}-y_{1} }{x_{2}- x_{1} } = \frac{-5-3}{4-0} = -2[/tex]
Therefore, the equation of line is;
y - y₁ = m (x - x₁)
y - 3 = -2 (x - 0)
y - 3 = -2x
2x + y = 3
Hence, An equation in slope intercept form the line which goes through the points (0,3) and (4,-5) is;
⇒ 2x + y = 3
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