The equation of the line r is y = ₋(10/9)x ₊ 7.
Given, parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope intercept form
equation of line q is y = ₋10/9x ₊ 2
it's already in slope intercept form.
hence slope is:
m = (₋10/9) from the above the equation.
we know that the second line will also have a slope of ₋10/9 and we are given the point (9 , ₋3). We can setup an equation in slope intercept form and use these values to solve for the y inetrcept.
y = mx ₊ b
₋3 = ₋10/9 (9) ₊ b
₋3 = ₋10 ₊ b
b = 7
plug the y intercept back into the equation to get our final answer.
y = ₋(10/9)x ₊ 7
hence we get the equation of the line r as y = ₋(10/9)x ₊ 7.
Learn more about Coordinate geometry here:
brainly.com/question/11337174
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