How do you find the slope and y intercept of #y=-3/4x+3#?

Question

Savannah Anderson · Accepted Answer

slope # = -3/4#
y-intercept = 3 Y = mx + c is one form of the equation of a straight line; this form is also known as the slope-intercept form. The gradient, or slope, in y = mx + c is denoted by m, and the y-intercept, or c. Therefore, access to m and c is possible with an equation in this form. Consequently, for #y = -3/4 x + 3# color(black)(" and y-intercept ") = 3 #slope # = -3/4

Savannah Anderson · Answer

Slope: #(-3/4)color(white)("XXXXXXXX")#y-intercept: #3# A linear equation in the format #color(white)("XXX")y=color(blue)(m)x+color(red)(3)# is in "slope-intercept form" if its slope is #=color(blue)(m)# and its y-intercept is #=color(red)(b)#. This formula yields the slope #=color(blue)(-3/4)# and y-intercept #=color(red)(3)# for #y=color(blue)(-3/4)x+color(red)(3)#.

Hazel Anglin · Answer

undefined To find the slope and y-intercept of the equation $ y = -\frac{3}{4}x + 3 $:

Slope: The slope is the coefficient of $ x $, which is $ -\frac{3}{4} $.

Y-intercept: The y-intercept is the point where the line intersects the y-axis. In the equation $ y = -\frac{3}{4}x + 3 $, the y-intercept occurs when $ x = 0 $. Substituting $ x = 0 $ into the equation gives $ y = 3 $. So, the y-intercept is $ (0, 3) $.