Point-slope form:
y - y₁ = m(x - x₁)
You need to find "m" which is the slope.
To do so, use the slope formula and plug in the two points:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{7-(-5)}{-3-1}[/tex]
[tex]m=\frac{7+5}{-3-1} =\frac{12}{-4} =-3[/tex]
m = -3
(x₁ , y₁) = (1, -5)
Plug this into the equation:
y - y₁ = m(x - x₁)
y - (-5) = -3(x - 1)
y + 5 = -3(x - 1)
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept
In order to get the equation from point-slope form to slope-intercept form, isolate/get the "y" by itself.
y + 5 = -3(x - 1) First distribute/multiply -3 into (x - 1)
y + 5 = -3x + 3 Subtract 5 on both sides
y = -3x - 2
