The line has the same slope as 7x-y=5 and the same y intercept as the graph 3y-11x=15
2 answers:
7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.
7x - y = 5 (Same slope) , 3y - 11x = 15 (Same y-intercept) So, our first step is to find the slope of the first statement! :) 7x - y = 5 Subtract 7x from both sides, so that it is a y-equals equation. -y = -7x + 5 Divide both sides by -1. y = 7x - 5So, our slope is 7! 3y - 11x = 15 To find the y-intercept, we must get y by itself to make this into a y-equals equation. So, simply add 11x to both sides! 3y = 11x + 15 Divide both sides by 3. y = 11/3x + 5 So, our y-intercept is 5! Slope = 7, y-intercept is 5. Standard form = Ax + By = C So, we must first put this into slope-intercept form, which is y=mx+b Simply plug in the values for m and b. y = 7x + 5 Subtract 7x from both sides. -7x + y = 5 However, in standard form, x can NEVER be negative, so simply divide everything by -1!7x - y = -5 <=== Standard Form ~Hope I helped!~
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