The equation of slope intercept form is y =−4x+24
An intercept is a y-axis point through which the slope of a line passes. It is the y-coordinate of a y-axis point at which a straight line or a curve intersects. This is represented by the straight-line equation y = mx+c, where m is the slope and c is the y-intercept.
Given m = -4 and point)-3, -12)
One way to write a line's equation is in slope-intercept form, which looks like this:
y = mx+b
m = slope
b = y-intercept (where the line crosses the y-axis)
The problem has already been given
m = −4
x=-3
y=-12
Normally, the equation of a line is left with x and y being variables, and m and b having values. Since we do not have a value for b, we will plug all those numbers in and solve.
When those are substituted, the equation should look like this.
-12=(4)(-3)+b
-12=12+b
24=b
So the line's equation would be:
y=−4x+24
And this is your equation graphed. Notice how the line crosses the y-axis at 24, and that the slope is −4, just like the equation says.
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