What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -3/5

Question

Pls help my teacher will not teach

Answer 1

Hi Grayson!

We can start with the point-slope form of an equation. This is y - y₁ = m (x - x₁). We know the ordered pair is (1, 24). This means x₁ = 1 and y₁ = 24. We are also given the slope m = -3/5. Let's plug these numbers into the equation. We get y - 24 = (-3/5) (x - 1). Let's simplify the right-hand side by distributing the -3/5. We get y - 24 = -3/5x + 3/5. Finally, to get the equation in standard form (slope-intercept form), we want to add 24 to both sides. This gives us y = -3/5x + 3/5 + 24. We can add 3/5 and 24 (3/5 + 120/5 = 123/5) to get our final equation. The answer will be y = -3/5x + 123/5.