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Write the linear equation in slope intercept form passing through (-5,3) with a slope of -3/5

User Nroose
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Final answer:

To write the equation of a line in slope-intercept form given a point and a slope, substitute the slope and the point's coordinates into the slope-intercept equation and solve for the y-intercept. In this case, the linear equation is y = -3/5x.

Step-by-step explanation:

To find the equation of a line in slope-intercept form, which is y = mx + b, we will use the given slope (−3/5) and point (−5, 3). We plug these values into the slope-intercept form to solve for the y-intercept (b).

  • Start with the slope-intercept form: y = mx + b.
  • Substitute the slope (m) and the coordinates of the given point into the equation: 3 = (−3/5)(−5) + b.
  • Multiply the slope by the x-coordinate: 3 = 3 + b.
  • Solve for b: 3 − 3 = b, which simplifies to b = 0.

The linear equation is therefore y = −3/5x.

User Sharpner
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