题目Find the equation of the line in point-slope form, and state the meaning of the slope in context-what information is the slope giving us? 相关知识点: 试题来源: 解析 y- 10=(35)2(x- 12); Every 2 in. of rainfall increases the number of cattle raised per acre by 35.反馈 收藏 ...
解析 Find the value of ( b) using the formula for the equation of a line. ( b=1) Now that the values of ( m) (slope) and ( b) (y-intercept) are known, substitute them into ( y=mx+b) to find the equation of the line. ( y=1)...
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Let the equation of the tangent line be y= -x +b. Substituting this into the equation of the circle: 2x^2- 2bx+b^2-4=0 . Since the line is tangent to the circle, we have △=(-2b)^2-4*2(b^2-4)=0 Solving for b: b =±2 2. So the equation of the tangent line is ...
Next, we need to find the slope of the line given by the equation9x−y+5=0. We can rewrite this in slope-intercept formy=mx+b: y=9x+5 Thus, the slopemof the line is9. Step 4: Set the slopes equal for perpendicularity
Using theslope-interceptform, theslopeis−23-23. m2=−23m2=-23 Setup thesystem of equationsto find anypointsofintersection. y=2x3y=2x3 y=−2x3y=-2x3 Solve thesystem of equationsto find thepointofintersection. Tap for more steps... ...
Simplify theequationand keep it inpoint-slope form. y−2=23⋅(x−1)y-2=23⋅(x-1) Solve foryy. Tap for more steps... Simplify23⋅(x-1). y-2=0+0+23⋅(x-1) y-2=23⋅(x-1) y-2=23x+23⋅-1 23andx.
Step1 Find the equation of the line l. Begin by finding the slope of the line (-5,3) through points (-5,3) and (4,-6). m= (y_2-y_1)(x_2-x_1)= (-6-3)(4-(-5))= (-9)9 or -1Then write the equation of this line using the point (4,-6) on the line....
Tangent line is a line which passes through the curve at only one point. To find the equation of tangent line to any curve,we have to find slope of the line with one point on line. Use point slope form {eq}\displaystyle y-y_1=m(x-...
Find the equation of the line normal to the curve {eq}y = 8 - x^3 {/eq} at the point {eq}(-1, \; 9) {/eq}. Normal Line to the Curve: The slope of the normal line to a curve at one point is the opposite of the inverse of the slope of the tangent ...