write an equation of the line that passes through the given point and has the given slope. (3, 5); slope 4
write an equation of the line that passes through the given point and has the given slope. (3, 5); slope 4
Answer
Explanation:
Step1: Use the point - slope form
The point - slope form of a line is (y - y_1=m(x - x_1)), where ((x_1,y_1)) is a point on the line and (m) is the slope. Here, (x_1 = 3), (y_1=5) and (m = 4). Substitute these values into the formula: (y - 5=4(x - 3))
Step2: Simplify the equation
Expand the right - hand side: (y-5 = 4x-12) Add 5 to both sides of the equation: (y=4x-12 + 5) So, (y=4x-7)
Answer:
(y = 4x-7)