Write an equation in slope-intercept form for the line that passes through (1,9) and (3,5).
Accepted Solution
A:
To write the equation of the line, we will use the point-slope formula.To do this, we need a point and a slope.We can find out slope by using the slope formula.m = y₂ - y₁ / x₂ - x₁So we have 5 - 9 / 3 - 1 or -4/2 which is -2.Now let's use the point-slope formula.y - y₁ = m(x - x₁)Now substitute one of our points (x₁, y₁) into our formula.So we have y - 5 = -2(x - 3).Distributing the -2 gives us y - 5 = -2x + 6.Moving the -5 to the right, we have y = -2x + 11.So y = -2x + 11 is our equation.