How do you find the slope given y + 4x = 5?

2 Answers
Mar 28, 2016

standard form is " "y=-4*x+5.
-4 is the slope & 5 the y-intercept.

Explanation:

standard form is y=mx+c, :. y=-4*x+5
-4 is the slope & 5 the y-intercept.

Mar 28, 2016

slope =color(white)(.) - 4

Explanation:

The standardised equation for a straight line graph is:

" "y=mx+c

As x can be assigned any value you chose it is called the independent variable

As the value of y depends on the value you assign to x it is called the dependant variable

The slope (proper name is gradient ) is m this represents the amount of up or down for the amount along as you read left to right.
If m is negative then it is a downward slop. If m is positive then it is an upwards slop.

The constant c just lifts or lowers the graph. If it is -c then the line is lowered by that amount. If it is +c then the graph is raised by that amount.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Given: color(brown)(y+4m=5)

Converting this equation to standard form

Subtract color(blue)(4m) from both sides giving:

" "color(brown)(y+4mcolor(blue)(-4m)" "=" "5color(blue)(-4m))

y+0=-4m+5

" "color(green)(y=-4x+5)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(magenta)(" So the slope is "-4).

This means for 1 along the x-axis y goes down by 4