Answer:
Step-by-step explanation:
To do this we will first use the slope formula to find the slope of the line. Given 2 points, you can't do anything else BUT find the slope. Always start there. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plugging in our values from the points where y2 is 7, y1 is 3, x2 is -4 and x1 is -2:
[tex]m=\frac{7-3}{-4-(-2)}=\frac{7-3}{-4+2}=\frac{4}{-2}=-2[/tex]
So the slope is -2. Now we will pick either point and use the x and y coordinates to fill in the point-slope form of a line, which is:
[tex]y-y_1=m(x-x_1)[/tex]
where y1 and x1 are the coordinates from the point we pick, and m is the slope we just solved for. It doesn't matter which point you pick to use as your x and y coordinates; either one will give you the exact same equation...PROMISE!!
I chose (-2, 3), no reason in particular. x1 is -2 and y1 is 3:
[tex]y-3=-2(x-(-2))[/tex] which simplifies a bit to
y - 3 = -2(x + 2) and a bit more to
y - 3 = -2x - 4 and even more to
y = -2x - 4 + 3 and finally to our final line in slope-intercept form:
y = -2x - 1
Choice a.
