Answer:
First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.
For slope:
[tex]m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7[/tex]
Slope (m) = 7
For y-intercept:
[tex]5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b[/tex]
Y-intercept (b) = 26
Using this information, we can now create the equations for this line.
[tex]y= 7x + 26\\\\y - 5 = 7(x + 3)[/tex]
Formulas:
Slope formula: y₂ - y₁/x₂ - x₁
Slope-intercept form: y = mx + b
Point-slope form: y - y₁ = m(x - x₁)
*Note: (x₁, y₁), (x₂, y₂) = 2 points on the line
