There is a line that includes the point (2, -1) and has a slope of -4. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form. y=? x+?

Question

There is a line that includes the point (2, -1) and has a slope of -4. What is its equation in slope-intercept form?  Write your answer using integers, proper fractions, and improper fractions in simplest form.  y=? x+?

Susan Yang · Accepted Answer

Step 1 Given point (2,-1) slope, m=−4 Step 2 Solve equation of line using slope point form of line y−y1=m(x−x1) Step 3 Plug given point and slope into the formula y−y1=m(x−x1) plug (x1,y1)=(2,−1) m=−4 ⇒y−y1=m(x−x1) ⇒y−(−1)=−4(x−2) ⇒y+1=−4(x−2) distribute -4 to both terms ⇒y+1−1=−4x+8−1 subtract -1 from both sides to isolate y on left side ⇒y=−4x+7 Step 4 hence equation of line will be: y=−4x+7

There is a line that includes the point (2, -1) and has a slope of -4.

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