Home > Geometry calculators > Coordinate Geometry > Find Slope, X-intercept and Y-intercept of the line joining the points A(3,-5) and B(-7,9)

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 Problem: Slope XIntercept YIntercept of (3,-5),(-7,9) [ Calculator, Method and examples ]Solution:Your problem -> Slope XIntercept YIntercept of (3,-5),(-7,9)Here A(3,-5), B(-7,9) are the given points:. x_1=3, y_1=-5, x_2=-7, y_2=9The equation of a line AB is(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1):. (y+5)/(9+5)=(x-3)/(-7-3):. (y+5)/(14)=(x-3)/(-10):. (y+5)/(7)=(x-3)/(-5):. -5(y+5)=7(x-3):. -5y -25=7x -21:. 7x+5y+4=0The given equation sholud be written in the form y=mx+c7x+5y+4=0:. 5y=-7x-4:. y=-7/5x-4/5Comparing this equation with y=mx+c, we getslope m=-7/5 and intercept on Y-axis c=-4/5Now, to find the intercept on X-axis put y=0 in the given equation.The value of x will give the intercept of the line on X-axis:. 7x+5y=-4:. 7x+5(0)=-4:. 7x=-4:. x=-4/7:. intercept on X-axis=-4/7

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