Answer:
y - 8.3 = 6.5(x + 3.4) {the point-slope form of the equation}
y = 6.5x + 30.4 {the slope-intercept form of the equation}
65x - 10y = - 304 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = 6.5
(-3.4, 8.3) ⇒ x₀ = -3.4, y₀ = 8.3
The point-slope form of the equation:
y - 8.3 = 6.5(x + 3.4)
So:
y - 8.3 = 6.5x + 22.1 {add 8.3 to both sides}
y = 6.5x + 30.4 ← the slope-intercept form of the equation
y - 6.5x = 30.4 {multiply both sides by (-10)}
65x - 10y = - 304 ← the standard form of the equation