A line with slope −3 passes through the point −1, 4.Find the coordinates of another point on the line.,
Question
A line with slope −3 passes through the point −1, 4.Find the coordinates of another point on the line.,
Solution
To find another point on the line, we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
We know the slope (m) is -3 and we have a point (-1, 4) which we can substitute into the equation to find the y-intercept (b).
4 = -3*(-1) + b 4 = 3 + b b = 4 - 3 b = 1
So, the equation of the line is y = -3x + 1.
To find another point on the line, we can choose a value for x and solve for y. Let's choose x = 2.
y = -3*2 + 1 y = -6 + 1 y = -5
So, another point on the line is (2, -5).
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