Question

Graph the line for y+1=−3/5(x−4) on the coordinate plane.
Please use the graph
I put 30 points please answer quickly

Answer 1

Answer:

Step-by-step explanation:

Compare the given y+1=−3/5(x−4) to the point-slope general equation

                                 y - k = m(x - h)

We see immediately that k = -1, h = 4 and m = -3/5.

So we know that this line passes through (4, -1) and has a slope of -3/5.

Plot the point (4, -1).  Now let's find another point on this line, using the slope.

Starting at the point (4, -1), move your pencil horizontally 5 spaces to the right.  This corresponds to the '5' in m = -3/5.  This will take you to (9, -1).

Starting at (9, -1), move your pencil 3 units down.  This corresponds to the '-3' in m = -3/5.  Plot (9, -4).

Now draw a line through these two points (4, -1) and (9, - 4).

Answer 2

Answer:

The equation of line is

It is the point slope form of a line, therefore the slope of the line is  and the line passing through (4,-1).

Rewrite the above equation in slope intercept form.

The point slope form of a line is

Where m is the slope and b is y-intercept.

Therefore the slope of the line is  and the y-intercept of the line is .

Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.

The y-intercept is .

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.

Step-by-step explanation: