Question

Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answer 1

Answer:

Find the slope:

• $m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}$

Use point-slope form and one of the points:

• y - y₁ = m(x - x₁)
• $y - 1 = -\frac{4}{5}(x - 4)$