Use the formula y=mx+c (Eqn 1)
m=-3/4
The line passes through (8, -12) so insert these values into Eqn 1
==> -12 = -3/4*8+c (I use * to mean multiply)
==> c = -12 +3/4*8 = -12 + 6 = -6
So the eqn of the line is y = -3/4x -6
The y intercept is found when x=0.
==> y = -3/4*0 - 6 = -6
So the y intercept is the point (0, -6)
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y = mx + b
-12 = ( -3/4 ) ( 8 ) + b
-12 = -6 + b
b = intercept = -6 <----------[ ANSWER ]--------------------
what is the horizontal line that passes through (-5,6)
It is: y = 5x+6
7x + 4 = - 67x = - 10x = - 10/7X-intercept: x = - 10/7There is no y-intercept. The graph is a straight vertical line passing through the point x=-10/7.It's parallel to the y-axis, so it never intercepts the y-axis.
y = 4
The slope intercept form is: y=mx+b where m is the slope and b is the y-intercept. Since you already know the slope, you can plug that into the equation. y=-3x+b The only thing left to do is to find out what b is. To do this, plug the x and y value of the point it goes through into the equation and solve for b. Good luck.