Question 625053

Write the slope-intercept form of the equation of the line shown in the graph
(5,1) (-5,-5)

Can someone please take time to show me how to work these problems, I am totally lost in this part of my course. Please Help Me!!!


For problems like these, you need to first determine the slope, and then use the general form of a linear equation, y = mx + b, plug in the slope, or m, the coordinates of one of the points: (5, 1), or (- 5, - 5), and solve for b. This will give you the equation.


You can also use the point-slope formula: {{{y - y[1] = ((y[2] - y[1])/(x[2] - x[1]))(x - x[1]))}}}, with {{{x[1] = 5}}}, {{{y[1] = 1}}}, {{{x[2] = - 5}}}, {{{y[2] = - 5}}}


{{{y - y[1] = ((y[2] - y[1])/(x[2] - x[1]))(x - x[1]))}}}


{{{y - 1 = (( - 5 - 1)/(- 5 - 5))(x - 5))}}}


{{{y - 1 = ((- 6)/- 10)(x - 5)}}}


{{{y - 1 = ((3cross(- 6))/5cross(- 10))(x - 5)}}}


{{{y - 1 = (3/5)x - 3}}}


{{{y = (3/5)x - 3 + 1)}}}


{{{highlight_green(y = (3/5)x - 2))}}}


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