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Find the​ slope-intercept form of the line whose slope is 5 and that passes through the point left (-2,8)

User Kartearis
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\text{The slope-intercept form:}\ y=mx+b\\\\\text{m-a slope; b-a y-intercept}


\text{We have:}\\m=5\\\text{therefore}\ y=5x+b


\text{We know, the line passes through the point}\ (-2;\ 8)\to x=-2;\ y=8\\\\\text{substitute the values of x and y to the equation of the line:}\\\\8=5(-2)+b\\\\8=-10+b\ \ \ |+10\\\\b=18


\text{Your answer:}\ y=5x+18
User Num
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