Answer:
y= -3x +2
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
* (x1, y1) is the first coordinate and (x2,y2) is the second coordinate.
Let's find the gradient of the line.
[tex]m = \frac{5 - ( - 1)}{ - 1 - 1} \\ m = \frac{5 + 1}{ - 2} \\ m = \frac{6}{ - 2} \\ m = - 3[/tex]
Substitute m= -3 into the equation:
y= -3x +c
Since y-intercept is at (0, 2), c= 2.
Substitute c= 2 into the equation:
y= -3x +2
The closest option will be the first option. However, since the x-axis is labelled as x not z, the equation should be y= -3x +2 not y= -3z +2.
