Question

(x,3) and (7,-5) given m= -8/7

Answer 1

Answer:

(0, 3)

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

$m$ - slope

$b$ - y-intercept

Given

$m=-\dfrac{8}{7}$

and point $(7;\ -5)$

Substitute the value of the slope and the coordinates of the point ot the equation of a line:

$-5=-\dfrac{8}{7\!\!\!\!\diagup}\cdot7\!\!\!\!\diagup+b$     cancel 7

$-5=-8+b$           add 8 to both sides

$-5+8=-8+8+b$

$3=b\to b=3$

Therefore we have the equation of the line:

$y=-\dfrac{8}{7}x+3$

Substitute (x, 3) to the equation:

$3=-\dfrac{8}{7}x+3$          subtract 3 from both sides

$3-3=-\dfrac{8}{7}x+3-3$

$0=-\dfrac{8}{7}x$           divide both sides by (-8/7)

$0=x\to x=0$