1 answer:
You want this in slope-intercept form, which is : y=mx+b Where m = slope, and b = y-intercept To find the slope, pick two points on the line given to us :) I have decided to pick the points : (0, -4) and (4, -3) To solve for the slope, we use the slope equation, which is : m = y₂-y₁ / x₂-x₁ ** In this case, y₂ = -3 ; y₁ = -4 ; x₂ = 4 ; x₁ = 0 ** Simply plug everything in :) m = -3 - (-4) / 4 - 0 Simplify. m = -3 + 4 / 4 Simplify. m = 1/4 So, our slope is 1/4. Now we need to find the y-intercept. ** Remember : The y-intercept is the point in which our given line passes (goes) through the y-axis ** So, please go look at our line. As you can see, our y-intercept is -4, as that is the point in which our line passes through the y-axis. So, the slope is 1/4 & the y-intercept is -4. Slope-intercept form : y = mx + b Plug everything in. y = 1/4x - 4 is your final answer. ~Hope I helped!~
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