Answer:
Slope: 4
Equation: y = 4x + 67
Step-by-step explanation:
- Line mx+b passes through points [tex]\bold{\left(-26,\:-37\right)\mathrm{,\:}\left(-32,\:-61\right)}[/tex]
Find Slope (m): [tex]\bold{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bold{\left(x_1,\:y_1\right)=\left(-26,\:-37\right),\:\left(x_2,\:y_2\right)=\left(-32,\:-61\right)}[/tex]
[tex]\bold{m=\frac{-61-\left(-37\right)}{-32-\left(-26\right)}}[/tex]
Refine: m = 4
Find y intercept (b): Plug 4 into y=mx+b
y=4x+b
Plug in [tex]\bold{\left(-26,\:-37\right)\mathrm{:\:}\quad \:x=-26,\:y=-37}[/tex]
-37 = 4(-36) + b
Solve for b: b = 67
Equation: y = 4x + 67
m: 4
y: 67
