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Question

find the slope of the y intercept of the line passing through the point 10, 8 and is parallel to the line 2y=-8x+6. It wants me to find slope and y intercept.

Answer 1

You need to get the equation into slope intercept form. You need to divide both sides of the equal sign by 2

y= -4x+3 then since the new line is parallel it will have the same slope

the new line has a slope of -4, you need to then plug in the x, y coordinates for x and y in the slope intercept formula

y=mx+b

8=-4(10) +b

8= -40 + b

add 40 to both sides

48=b

so the new line would be the original slope, -4 and the new b (y-intercept) 48

y= -4x +48