Question

Write an equation in slope-intercept form of the line shown.

Answer 1

Answer:

$y = 2x - 5$

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

$slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2$

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in $y = mx + b$

$-3 = (2)(1) + b$

$-3 = 2 + b$

Subtract 2 from both sides

$-3 - 2 = 2 + b - 2$

$-5 = b$

$b = -5$

Plug in the value of m and b into the slope-intercept form equation, $y = mx + b$.

Thus:

$y = 2x +(-5)$

✅$y = 2x - 5$