Answer:
y = -2x + 4
Step-by-step explanation:
First find slope:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-10-4}{7-0}= \frac{-14}{7}=-2[/tex][tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-10-4}{7-0}= \frac{-14}{7}=-2[/tex]
We know equation of a line is y = mx + b, where m = slope and b = y-intercept, so we can plug in the slope:
y = -2x + b
The y-intercept of the equation is 4 because the coordinate (0, 4) is given. Therefore, the equation is:
y = -2x + 4
Answer:
2x + y = 7
Step-by-step explanation:
suppose (x1,y1)=(0,4) ; (x2,y2)=(7,-10)
the formula is,
(x - x1) / (y-y1) = (x1-x2) / (y1-y2)
=>x-0 / y-4 =0-7 / 4-(-10)
=>x / y-4 = -7 / 14
=>x / y-4 = - 1 / 2
=>2x = -y + 4
=>2x + y = 4
