a line passes through the point (4,1) and has a slope -4 write an equation for this line
What is the inverse of the statement if a polygon has 8 sides then it is an octagon ?
To write the equation of a line given a point and the slope, we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y1 = m(x - x1),
where (x1, y1) is a point on the line, and m is the slope of the line.
In this case, the point is (4, 1) and the slope is -4. Plugging these values into the point-slope form, we get:
y - 1 = -4(x - 4).
Now, let's simplify the equation:
y - 1 = -4x + 16.
To rearrange the equation into the slope-intercept form (y = mx + b), we isolate the y variable:
y = -4x + 17.
Therefore, the equation of the line passing through the point (4, 1) with a slope of -4 is y = -4x + 17.
it must look like this
y = -4x + b , now plug in the point
1 = -4(4) + b
17 = b
y = -4x + 17
y-1 -4x+16
y-1+1 = -4x +16 +1
y =-4x+17