What is the slope-intercept form of the line passing through # (3,0) # and # (-4, 1) #?

3 Answers

Answer:

#y=-1/7x+3/7#

Explanation:

The equation of straight line passing through the points #(x_1, y_1)\equiv(3, 0)# & #(x_2, y_2)\equiv(-4, 1)# is given as follows

#y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)#

#y-0=\frac{1-0}{-4-3}(x-3)#

#y=-1/7(x-3)#

#y=-1/7x+3/7#

Above equation of line is the slope-intercept form: #y=mx+c#

Jul 18, 2018

Answer:

#y=-1/7*x+3/7#

Explanation:

After using slope formula for known 2 points,

#m=(1-0)/(-4-3)=1/(-7)=-1/7#

After using formula for known slope and a point,

#y-0=-1/7*(x-3)#

#y=-1/7*x+3/7#

Jul 18, 2018

Answer:

#y=-1/7x+3/7#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"to calculate m use the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(3,0)" and "(x_2,y_2)=(-4,1)#

#m=(1-0)/(-4-3)=1/(-7)=-1/7#

#y=-1/7x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute either of the 2 given points into"#
#"the partial equation"#

#"using "(3,0)" then"#

#0=-3/7+brArrb=0+3/7=3/7#

#y=-1/7x+3/7larrcolor(red)"in slope-intercept form"#