Question

Complete the equation of the line through (3,-1) and (4,7).
Use exact numbers.
y=______

Answer 1

(x
$(x2 - x1) + (y1 - y2)$
(4-3)+(7-(-1))
1+8
√9
18
answer of 18

Answer 2

Answer:

$y = 8x - 25$

Step-by-step explanation:

Equation of a line in slope-intercept form: $y = mx + b$

To fond the slope using two points $(x_{1} , y_{1})$ and $(x_{2} , y_{2})$.

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ = $\frac{7 - (-1)}{4 - 3}$ = $\frac{8}{1}$

∴ Our current equation is $y = 8x + b$

To find b, substitute with the values given,

7 = 8 · 4 + b

7 = 32 + b

b = 7 - 32 = -25

∴ The equation is $y = 8x - 25$.