The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$m = \frac{5 - 3}{0 - 2}$

$m = \frac{2}{-2}$

$m = -1$

Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is $y=-1x+5$ .

3 0

3 years ago

What is the common ratio of the sequence -2,6,-18,54

sdas [7]

Common ratio, r is found by dividing the next term by the previous term

r = $\frac{6}{-2}$ = -3
you can see this value is true for any consecutive pairs of terms
also, multiply by -3 to get the next term

8 0

3 years ago