A line has a slope of 2 and passes through the point (–4,–8). Write its equation in slope-intercept form.
Question
A line has a slope of 2 and passes through the point (–4,–8). Write its equation in slope-intercept form.
Solution
The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
Step 1: Identify the slope (m). In this case, the slope is given as 2. So, m = 2.
Step 2: Substitute the slope and the coordinates of the given point into the equation. The given point is (-4, -8). So, we substitute x = -4 and y = -8 into the equation:
-8 = 2*(-4) + b
Step 3: Solve for b (the y-intercept).
-8 = -8 + b
By adding 8 to both sides of the equation, we find that b = 0.
Step 4: Substitute m and b back into the slope-intercept equation.
So, the equation of the line is y = 2x + 0, or simply y = 2x.
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Instructions: Write the equation of the line in Slope-Intercept Form given the information below.Slope =−4=−4Point =(2,−4)=(2,−4)Slope-Intercept Form:
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