Question

Given the points ( − 7 , − 9 ) and ( 0 , 3 ) on a line, find its equation in the form y = m x + b .

Answer 1

Answer:

$y = \frac{12}{7} x + 3$

Step-by-step explanation:

y=mx +b

m refers to the gradient of the line,

b refers to the y intercept

gradient formula= $\frac{y1 - y2}{x1 - x2}$

$m = \frac{3 - ( - 9)}{0 - ( - 7)} \\ m = \frac{3 + 9}{7} \\ m = \frac{12}{7}$

substitute the value of m into the equation:

$y = \frac{12}{7} x + b$

y-intercept occurs at x=0.

Given the point (0,3), we know that the y-intercept of the line is 3.

Thus, the equation of the line is $y = \frac{12}{7} x + 3$