## nuox95 4 years ago what is the equation of line AB? A(0,6) B(7,3)

1. Ishaan94

y = 3x + 6

2. Ishaan94

Do u want to know how to do this ?

3. Ishaan94

sry messed up co-ordinates it should be y = 3/7x +6

4. Ishaan94

sry,typo y = -3/7x +6

5. Ishaan94

dont wry y = -3/7x + 6 ths time no typo , no messing up :)

6. JonnyMcA

The equation of a straight line is $y=mx+c$ where m is the slope and c is the y-intercept. To find the slope divide the difference in y values, by the difference in x values thus $m=\frac{y_1-y_2}{x_1-x_2}$. Once you have found the slope, choose a point, and plug the values for x and y into the straight line equation and solve for c. So in this instance we would have a slope of $m=\frac{6-3}{0-7}=-3/7$. So we now have $y=-\frac{3}{7}x+c$. We choose the point (0,6) where x = 0 and y = 6, and plug the numbers in to get $6=-\frac{3}{7}\times0+c$ making c = 6. So the final equation is $y=-\frac{3}{7}x+6$ or to remove the fraction multiply everything by 7 and we get $7y=-3x+42$