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

##### 3 Answers

#### Explanation:

The equation of straight line passing through the points

Above equation of line is the slope-intercept form:

#### Explanation:

After using slope formula for known 2 points,

After using formula for known slope and a point,

#### 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"#