Write the equation of the line that passes through the points (3,7) and (-1,2) in point-slope form and slope-intercept form. I a

Question

3 years ago

15

m stuck on how to do this.

1 answer:

igomit [66] · Answer 1 · 2022-04-23T12:56:56+03:00

7 0

First, find the slope (m): m = $\frac{y2 - y1}{x2 - x1}$ = $\frac{7 - 2}{3 - (-1})$ = $\frac{5}{4}$

Next, input ONE of the points (x₁, y₁) and the slope into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 7 = $\frac{5}{4}$ (x - 3)

Lastly, isolate "y" to find the Slope-Intercept formula: y = mx + b

y - 7 = $\frac{5}{4}x$ - $\frac{15}{4}$

y = $\frac{5}{4x}$ + $\frac{13}{4}$