The slope Intercept form of the equation of a line that passes through point ( 2.-13) Is y =5x - 3. What is the point-slope form of the equation for this line?

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
The point-slope form is [tex]y-y_{1}=m(x-x_{1})[/tex] , where m is the slope and [tex](x_{1},y_{1})[/tex] is a point on the line of the equation

∵ The slope-intercept form of the equation of a line is y = 5x - 3

- Compare it with the slope- intercept form above

∴ m = 5 and b = -3

∵ The line passes through point (-2 , -13)

∴ [tex]x_{1}[/tex] = -2 and [tex]y_{1}[/tex] = -13

∵ The slope of the line m = 5

- Substitute these values in the point-slope form above

∴ y - (-13) = 5(x - (-2))

∴ y + 13 = 5(x + 2)

To check your answer let us change it to the slope intercept form

∵ y + 13 = 5(x + 2)

- Simplify the right hand side

∴ y + 13 = 5(x) + 5(2)

∴ y + 13 = 5x + 10

- Subtract 13 from both sides

∴ y = 5x - 3 ⇒ same given equation

The point-slope form of the equation for this line is y + 13 = 5(x + 2)

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db611611 db611611 · Answer 2 · 2021-09-29T18:40:27+02:00

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

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The slope Intercept form of the equation of a line that passes through point ( 2.-13) Is y =5x - 3. What is the point-slope form of the equation for this line?​