What is the slope and intercept of $2x-5y=-10$ ?

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Answer 1 · 2017-06-04T13:34:25

$m = 2/5$

$b = +2$ , or the point $(0,+2)$

To find the slope and y intercept it is easiest to put the equation in the slope-intercept form of a straight line:

$y = mx + b$

where $m$ = the slope and
where $b$ = the $y$ - intercept.

Transpose the equation into the form $y =mx + b$

$2x - 5y = -10 " "$ Subtract $2x$ from both sides.

$2x-2x -5y = -2x -10" "$ Divide both sides by $-5$

$(-5y)/(-5) = (-2x)/(-5) + (- 10)/(-5)" "$ this gives

$y = 2/5x + 2$

so the slope : $m = 2/5$
the y intercept: $b = + 2$ or the point $( 0,+2)$

What is the slope and intercept of 2x-5y=-102x-5y=-10?